actually i think they did make a 370 of sorts.......or some odd ball 385 series..........it wasn't a common car or truck engine but.......shared the block.........some of the old lincolns had some whacky engine variations too.
ford didn't just make mustangs.......lol.........they made engines for trucks, farm equipment, industrial stuff, large trucks, u-hauls, etc...there are lots of odd ball engine sizes, reason being they took what ever was the popular block at the time and modified it for what ever they were building it for........
they did make a 360, alot of them, same block, different crank,rods,pistons. there were also some industrial versions of the FE that used a bigger distributor housing for industrial use......my point being, just because some people never heard of a particular engine displacement doesn't mean they don't exist........and it is important to note some of them because you never know what you may find an old engine in and you can't tell just by looking at them. many 360's and 390's have been passed off as 428's, 289's as 302's, etc..
thats one of the things that was so confusing about fords back then is they had several different engine families and variations with in......