Yes and no. The 3770 and 3470 are basically the same cpu, the 3770 is a little faster. The biggest difference will be with the hyperthreading on the 3770 can help considerably in some games that use 5 or more threads. Games like WoW, gta:v, battlefield series, assassin's creed and others. In other games like LoL, cs:go, roblox or minecraft that use 4 or less threads, there'll be next to no difference as both the cpus are so close in ability.
Worth is a personal thing, if the 3770 is cheap enough, it might be worth it, but much depends on what games you run or want to run vs cost.
Could also use a Xeon e3-1270v2, same thing as a 3770 without the igpu.