An inbred corn line, designated 3633BM, is disclosed. The invention relates to the seeds of inbred corn line 3633BM, to the plants of inbred corn line 3633BM and to methods for producing a corn plant, either inbred or hybrid, by crossing the inbred line 3633BM with itself or another corn line. The invention further relates to methods for producing a corn plant containing in its genetic material one or more transgenes and to the transgenic plants produced by that method and to methods for producing other inbred corn lines derived from the inbred 3633BM.