With his approaching finale and Monday’s appearance by President Obama, David Letterman snagged the largest overall audience in late-night TV last week – the first time Dave’s Late Show has beat Tonight Show in overall audience against originals of Tonight since Jimmy Fallon took over as host.

CBS’s Late Late Show With David Letterman last week bagged its biggest weekly audience in more than four years – 3.816 million viewers. Tonight Show Starring Jimmy Fallon logged 3.086; ABC’s Jimmy Kimmel Live clocked 2.229 million viewers.

Fallon, however, continued to top Letterman, and also beat Kimmel, in all key demographics, including  adults, men and women 18-34, 18-49 and 25-54. Among adult 18-49 viewers, Fallon logged a 44% margin over Letterman (1.177 million, versus 814,000), as well as a 72% advantage over Kimmel (686,000). Kimmel also came in 16% behind his late-night idol in the demo last week, and trailed him by 1.587 million viewers of all ages.

Late Show jumped 40% in overall audience and 20% in the 18-49 demo, compared to a year ago, as Letterman winds down his three-decade late night hosting career.  Letterman’s program was up 13% among adults 25-54 and flat with 18-34-year-olds, compared to same week last year.

It was Letterman’s largest crowd since the week ending February 11, 2011, his best adults 25-54 delivery since the week ending April 4, 2014, and matched his season-best adults 18-49 and adults 18-34 deliveries.

Letterman’s rising numbers boosted Late Late Show to its most watched week since James Corden’s premiere week as host – 1.43m viewers.