It's an SB 350 alright, the SB 400 was the long scale version of the predecessor model SB-300 and this model's long scale version would be an SB 450.
I like SBs and have waved their flag in the past, being much maligned for my selfless campaign by certain unnamed quarters here, but the SB 350 is probably the least desireable one of all four. The position of the bridge pup is so close to the bridge, there is not much sound coming from it, especially on the higher strings. An SB 300 doesn't have that issue as its two pups are much more to the middle and the neck and the SB 450 has the pups in the same place, but the bridge farther back due to the long scale measurement so there is more sound to pick up.
If you buy these just be aware that they sound nothing like a mudbuckin' EB, but are much more in the Ripper vein of things though, remarkably so for a budget line, those SB 350/450 pups have more bite and output than Ripper pups do.
Uwe