Recent history of hepatitis infection or if the treating physician determined that the patient would be at significant risk of reactivation of hepatitis Patients known to be human immunodeficiency virus (HIV) positive may be enrolled if baseline cluster of differentiation (CD)4 count is > 500 cells/mm^3 AND not taking anti-retroviral therapy; patients with known hepatitis are not eligible unless there is a known negative hepatitis panel; (exception: previous history of hepatitis A infection that is not currently active is allowed); patients must not have any known uncontrolled underlying pulmonary disease Patients with known hepatitis B or hepatitis C infection may be eligible providing they have viral load < 800,000 IU/L within 28 days prior to registration Negative for hepatitis B, or if infected with hepatitis B, receiving anti-hepatitis B therapy; all participants will be required to be screened for hepatitis B; per Infectious Disease Society of America (IDSA) and Assistance for AIDS Specific Drugs (AASD) guidelines, those participants that show no immunity, defined by the lack of hepatitis B surface antigen antibody, and show evidence of chronic infection (i.e. hepatitis B surface antigen [HBsAg]+, hepatitis B core [HBcore]+, hepatitis B surface antibody [HBsAB]-) will be required to be on anti-hepatitis B therapy during the study in order to be eligible; patients will be permitted to enroll in the study provided normal liver function tests and no evidence of cirrhosis; the exact hepatitis B therapy will be at the discretion of the infection disease specialist or investigator; however all patients who present with acute hepatitis B or show normal transaminases and are hepatitis B virus HBsAg surface protein antigen (HBsAg) positive (+) and immunoglobulin M (IgM)+ for hepatitis core antigen will not be eligible for trial enrollment Patients diagnosed with hepatitis C who are hepatitis C antibody positive, whether hepatitis C RNA level is measurable or not, must have no evidence of cirrhosis and have liver function tests Documented cirrhosis or documented acute hepatitis; Note: a positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb] positive and hepatitis B core antibody [HBcAb] negative), or a fully resolved acute hepatitis B virus (HBV) infection is not an exclusion criterion Patients must not have a history of chronic or active hepatitis B or C infection; patients must have negative hepatitis B and C serologies performed within 28 days prior to registration For patients with hepatocellular carcinoma secondary to hepatitis B or C, test results should be indicative of chronic viral hepatitis infection:* Patients with hepatitis B** Antibodies: Hepatitis B surface antigen (HepBsAg) and hepatitis B core antibody (HepBcAb) should be elevated and hepatitis B surface antibody (HepBsAb) and hepatitis Be antibody (HepBeAb) low, indicating chronic infection; if the pattern is different from this, please notify the PI** Viral load: COBAS TaqMan test measuring hepatitis B virus (HBV) DNA is reduced in chronic phase hepatitis B; the baseline value as the patient enters this study will be useful to discriminate between drug, disease progression, or increased viral load as possible attributions for worsening symptoms* Patients with hepatitis C** Antibodies: Anti-hepatitis C virus (HCV) testing-specific tests used will be based on the sites standard procedure for identifying hepatitis C** Viral load: HCV-RNA should be relatively constant in chronic phase of disease, though the level is typically higher than in the acute phase; the baseline value as the patient enters this study will be useful to discriminate between drug, disease progression, or increased viral load as possible attributions for worsening symptoms Documented human immunodeficiency virus (HIV), active bacterial infections, active or chronic hepatitis B, or hepatitis C infection A positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B virus surface antibody [HBsAb] positive and hepatitis B virus core antibody [HBcAb] negative), or a fully resolved acute hepatitis B infection is not an exclusion criterion TUMOR BIOPSY SEQUENCING: Patients with uncontrolled intercurrent illness including, but not limited to psychiatric illness/social situations that would limit compliance with study requirements, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, myocardial infarction in the past 6 months, invasive fungal infections, or active (acute or chronic) or uncontrolled severe infection, liver disease such as cirrhosis, decompensated liver disease, and active and chronic hepatitis (i.e., quantifiable hepatitis B virus [HBV]-DNA and/or positive hepatitis B surface antigen [HbsAg], quantifiable hepatitis C virus [HCV]-ribonucleic acid [RNA]) are not eligible to participate; testing for hepatitis B or other infections for eligibility will be performed only if clinically indicated Patients cannot have:* Central nerve system involvement* Primary refractory multiple myeloma, where primary refractory multiple myeloma is defined as disease that is nonresponsive patients who have never achieved a minimal response (MR) or better with any therapy over the course of their disease; it includes patients who never achieve MR or better in whom there is no significant change in M-protein and no evidence of clinical progression as well as patients who meet criteria for true progressive disease (PD)* Primary or secondary plasma cell leukemia* Light-chain (AL) amyloidosis or polyneuropathy, organomegaly, endocrinopathy, monoclonal gammopathy, and skin changes (POEMS) syndrome* Known active hepatitis C based on:** +hepatitis C virus (HCV) antibody (confirmed)** +HCV RNA** Liver disease with history of positive serology** Note: patients with a prior history of hepatitis C that has been successfully eradicated with antiviral therapy are eligible* Known hepatitis B surface antigen positivity* Previous hypersensitivity to any of the components of the study treatment* Prior history of erythema multiforme with thalidomide or lenalidomide treatment Positive hepatitis C serology or active hepatitis B infection Known positive patients for infectious hepatitis, type A, B, C Chronic hepatitis infection, including B and C No history of the following:* Child Pugh class B or C liver disease* Chronic active hepatitis defined as: ** Hepatitis B surface antigen (HBsAg) > 6 months** Serum hepatitis B virus (HBV) deoxyribonucleic acid (DNA) 20,000 IU/ml (105 copies/ml), lower values 2,000-20,000 IU/ml (104-105 copies/ml) are often seen in hepatitis B e antigen (HBeAg)-negative chronic hepatitis B** Persistent or intermittent elevation in alanine aminotransferase (ALT)/aspartate aminotransferase (AST) levels** Liver biopsy showing chronic hepatitis with moderate or severe necroin?ammation Patients must not have documented evidence of acute hepatitis or have an active or uncontrolled infection Patients with known active hepatitis B or C Patients with known history of hepatitis B surface antigen-positive, or known history or suspected active hepatitis C infection are not to be enrolled in the study Patients with known hepatitis B or hepatitis C are not eligible, regardless of concomitant antiretroviral therapy or current viral load Has known active hepatitis B (e.g., hepatitis B surface antigen [HBsAg] reactive) or hepatitis C (e.g., hepatitis C virus [HCV] ribonucleic acid [RNA] [qualitative] is detected) Patients with treated hepatitis virus infections (hepatitis B or hepatitis C) are eligible if they have been definitively treated for 6 months, have no detectable viral load on quantitative PCR, and liver function tests (LFTs) meet eligibility requirements Patients with clinically important history of liver disease, including viral or other hepatitis or cirrhosis are ineligible Patients with untreated or active hepatitis B or C infection Active hepatitis B or hepatitis C with abnormal liver function tests Patients who have a known active hepatitis B or hepatitis C infection are ineligible; patient must have documented evidence of negative tests for the presence of hepatitis B surface antigen and hepatitis C (anti-hepatitis C virus [HCV] antibody OR hepatitis [Hep] C RNA-qualitative); human immunodeficiency virus (HIV)-positive patients are eligible if the following criteria are met:* Stable on their antiretroviral agents* Have CD4 counts above 400* Undetectable viral loads, and* No need for prophylactic medications for an opportunistic infections EXCLUSION CRITERIA FOR STRATUM C: Patients who have a known active hepatitis B or hepatitis C infection are ineligible; patient must have documented evidence of negative tests for the presence of hepatitis B surface antigen and hepatitis C (anti-HCV antibody OR Hep C RNA-qualitative); HIV-positive patients are eligible if the following criteria are met:* Stable on their antiretroviral agents* Have CD4 counts above 400* Undetectable viral loads, and* No need for prophylactic medications for an opportunistic infections No history of the following:* Active known or suspected autoimmune disease* Patients with human immunodeficiency virus (HIV) are eligible if the lymphocytes > 350 cluster of differentiation (CD)4+ cells and no detectable viral load* Symptomatic, untreated, or uncontrolled brain metastases present* Active autoimmune colitis * Autoimmune panhypopituitarism * Autoimmune adrenal insufficiency * Known active hepatitis B or C** Hepatitis B can be defined as:*** Hepatitis B surface antigen (HBsAg) > 6 months*** Serum hepatitis B virus (HBV) deoxyribonucleic acid (DNA) 20,000 IU/ml (105 copies/ml), lower values 2,000-20,000 IU/ml (104-105 copies/ml) are often seen in hepatitis B e antigen (HBeAg)-negative chronic hepatitis B*** Persistent or intermittent elevation in alanine aminotransferase (ALT)/alanine aminotransferase (AST) levels*** Liver biopsy showing chronic hepatitis with moderate or severe necroinflammation** Hepatitis C can be defined as:*** Hepatitis C antibody (Ab) positive*** Presence of hepatitis C virus (HCV) ribonucleic acid (RNA)* Known active pulmonary disease with hypoxia defined as:** Oxygen saturation < 85% on room air or** Oxygen saturation < 88% despite supplemental oxygen Participants who have hepatitis C (both reactive anti-hepatitis C virus [HCV] antibody and detectable HCV RNA) and hepatitis B (hepatitis B surface antigen [HBsAg] positive and anti-hepatitis B core [HBc]-total positive), may be enrolled, provided total bilirubin is =< 1.5 x institutional ULN, and AST (SGOT) and ALT (SGPT) must be =< 3 X institutional upper limit of normal, and hepatitis B virus (HBV) deoxyribonucleic acid (DNA) < 100 IU/mL (if hepatitis B positive) within 2 weeks prior to enrollment Patients cannot have:* Active central nervous system or meningeal involvement by lymphoma; patients with a history of central nervous system (CNS) or meningeal involvement must be in a documented remission by cerebrospinal fluid (CSF) evaluation and contrast-enhanced magnetic resonance imaging (MRI) imaging for at least 91 days prior to registration* Evidence of myelodysplasia or cytogenetic abnormality indicative of myelodysplasia on any bone marrow biopsy prior to initiation of therapy* A known bleeding diathesis* Requirement for warfarin or similar vitamin K antagonists; these drugs are prohibited 28 days prior to the first treatment and throughout the trial* History of stroke or intracranial hemorrhage =< 6 months before treatment* Currently active, clinically significant hepatic impairment (Child-Pugh class B or C according to the Child Pugh classification* History of allergic reactions attributed to compounds of similar chemical or biologic composition to ibrutinib or other agents used in study* Serologic status reflecting active hepatitis B or C infection; patients that are positive for hepatitis B core antibody, hepatitis B surface antigen (HBsAg), or hepatitis C antibody must have a negative polymerase chain reaction (PCR) prior to enrollment; (PCR positive patients will be excluded) Evidence of active infection by hepatitis B and/or C; for patients with hepatitis B treated with anti-virals to undetectable viral load, and for patients with hepatitis C with undetectable ribonucleic acid (RNA) levels and no evidence of liver damage, enrollment may be considered and should discuss first with studys principal investigator Known active hepatitis, type B or C; patients on suppressive therapy with a negative viral load and no evidence of hepatic damage are eligible Participants who are hepatitis C virus antibody positive, or hepatitis B virus surface antigen positive must be free of clinical evidence of cirrhosis as determined by the principal investigator in consultation with the gastroenterology service; timeline: within 3 weeks prior to enrollment Patients who have hepatitis C (both reactive anti-hepatitis C virus [HCV] antibody and detectable HCV RNA) and hepatitis B (hepatitis B surface antigen [HBsAg] positive and anti-hepatitis B core [HBc]-total positive), may be enrolled, provided their total bilirubin: =< 1.5 x institutional upper limit of normal (ULN) AST (SGOT)/ALT (SGPT): =< 2.5 x institutional upper limit of normal Documented human immunodeficiency virus (HIV), active bacterial infections, active or chronic hepatitis B, hepatitis C* Positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antigen [HBsAb] positive and hepatitis B core antibody [HBcAb] negative) or a fully resolved acute hepatitis B infection is not an exclusion criterion* Positive hepatitis C serology is an exclusion criterionNOTE: HIV-positive patients are excluded from the study Hepatitis B (HBV) or hepatitis C (HCV); all patients must be screened for HBV and HCV up to 28 days prior to study drug start using the routine hepatitis virus laboratorial panel; patients with active HBV or hepatitis C infection are not eligible for enrollment; patients with serologic markers of HBV immunization due to known vaccination (hepatitis B surface antigen [HBsAg] negative, anti-hepatitis B core [HBc] negative and anti-hepatitis B surface [HBs] positive) will be eligible Hepatitis B or C serologies consistent with past or current infections Patients with known active human immunodeficiency virus (HIV), hepatitis B or hepatitis C infection; patients with a history of hepatitis B or hepatitis C, who are deemed cured and no longer require treatment may be allowed to enroll after consultation with the respective specialist and the study PI No known active hepatitis B or C* Active hepatitis B can be defined as: ** Hepatitis B virus surface antigen (HBsAg) detectable for > 6 months;** Serum hepatitis B virus (HBV) DNA 20,000 IU/ml (105 copies/ml); lower values 2,000-20,000 IU/ml (104-105 copies/ml) are often seen in hepatitis B virus e antigen (HBeAg)-negative chronic hepatitis B** Persistent or intermittent elevation in ALT/AST levels ** Liver biopsy showing chronic hepatitis with moderate or severe necroinflammation* Active hepatitis C can be defined as: ** Hepatitis C antibody (AB) positive AND ** Presence of hepatitis C virus (HCV) RNA Patients with known acute or chronic hepatitis B or hepatitis C infection are ineligible Patients with known active hepatitis (i.e. hepatitis B or C)