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These are the 3DS latest figures per Nintendo

https://www.nintendo.co.jp/ir/en/finance/hard_soft/

Hardware:66.12miilion units ( As of March 31, 2017 )

PSP final figures are harder to find but Wikipedia has the following 

Worldwide: 82 million, rounded-up (as of November 2013)[1][2][3]

Vgchartz has the PSP final figures at 80.82 million for reference. 

Nintendo foreceast that they will sell 6 million additional 3DS by march 2018. If they manage to do so the 3DS sales will stand at rougly 72m. From there on they will need to sell 8 million (or so) more  units to pass the PSP. 

Personally I think it will be very close and will heavily depends on how long they keep supporting the 3DS after 2017 but they will manage at the end (just barely). 

Thoughts?