On Monday, Tom Hanks will appear on the show, marking his 60th appearance with Letterman. Hanks first appeared on "Late Night" on April 4, 1984. That same evening, rocker Eddie Vedder will make a special music performance backed by Paul Shaffer and the CBS Orchestra.
On Tuesday, actor Bill Murray will sit down with the departing late-night host, marking his 44th overall appearance with Letterman.
As for Wednesday's show, viewers can expect memorable highlights, the final Top Ten List and lots of surprises, according to CBS.
Letterman announced last year that he would be retiring from the post. Stephen Colbert will take over hosting duties later this year.