Yes, the 3745 does support the DHCP server features, starting 12.3(1a) /
12.2(15)ZJ1 / 12.2(15)T5 / 12.2(11)YT2 / 12.2(11)T9 onwards.
Please refer to the feature navigator at www.cisco.com/go/fn
& look for "DHCP Server-Easy IP Phase 2"
I could configure the same on my lab 3745 too.
Thanks, Mak.