Helllo

Is it possible to jailbreak or downgrade my ps3?

Version: 4.46
Serial: CHECH-2504a

Thanks in advance!

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And if it's 3.55 and lower than you can downgrade your ps3. If higher than 3.56 then you can't.

Ye, that doesnt mean you can simply put cfw on it that easy lol, you obviously cant cuz your ps3 is probably on the latest ofw ( 4.46 ) and obviously enough if you try to put 3.55 on it, it would mean you're trying to downgrade, which cant be done without some special tools man. Good thing that your ps3 CAN be downgraded, as basically what that thing did, it checked your ps3's factory firmware and lucky for you, it was the one shown there( 3.40 ). If the result would have been even 3.55, it would still have worked but if it would have been higher than 3.55, for example even 3.56 there was nothing you could do to jailbreak that man.
About the downgrade process, you need to get ur ps3 to a specialised guy in your country which does these downgrades. I wouldnt recommend you do it yourself tho lol. Or if you cant find any1 you can ship over the border if thats ok for you.
Hope this helped