The present disclosure concerns an antibody that specifically binds CD38 which is capable of killing a CD38+ cell by induction of apoptosis, antibody-dependent cell-mediated cytotoxicity (ADCC), and complement-dependent cytotoxicity. The disclosed antibody may be used as a medicament or in the making of a medicament, wherein the antibody is to be administered to a human subject in a safe therapeutic dose of about 20 mg/kg or below. In one embodiment, the medicament is for treating CD38+ multiple Myeloma in humans.