I own a 365sp, and it's my primary saw and I don't see that changing. It's not too heavy (I've got it with a 20") and packs a punch. I'll sink it into 35+" hardwood and it doesn't skip a beat. Love that saw so much. I was a Stihl only guy up until that Husky, and the 365sp made me realize that there's stuff out there that cuts as well as any Stihl.
As SkippyKtm said, if it's a Special then it'll most likely have the Walbro carb (mine is and does).
I've never run a 361 so can't comment on them, but I'm sure they're a good saw too. I just wouldn't pass up that 365 at that price. It's a steal.