The 360j is a 38 Special. The 360 is a 357mag. I just bought one (360J) about a month ago at my LGS and you can get them at Buds Guns and other places. Mine had a SS black cylinder. Paid around $400.

I really liked the gun and would recommend it over any non steel J frame. I always want a hammer on my revolver. Don’t carry in pocket. AIWB or cross draw.
Shot sub 2” groups at 7 yards (off rest) so if you do your part it will do its.
It liked the Winchester Ranger 130gr+P ammo the best.

I really hated to sell it,but I had major problems with the grip S&W put on the gun. I take a size XL in gloves and the grip was just to thin for a good grip and it was a real knuckle knocker. I am old and cranky. Did not want to start a collection of grips in a box. Spending $100+ on grips for a $400 gun is not my style. Sold it for what I paid. No harm,no foul! If I could have put my Taurus M85 Bull head grips on this gun,it would have been my all time non steel J Frame favorite!
No problem handling +P recoil with the right grips! Hope this post answered a number of questions!

Be SAFE and shoot often!