This is (serious) a part of my retirement planning. I'll be mid-50s when this hits, and have enough low level system knowledge to be dangerous. In about 15 years, I'll start spinning up my epochalypse consultancy, and I'm expecting a reasonable return on investment in verifying systems as 2038 compliant.
No one is deploying 32-bit linux now, outside of tiny edge cases and mobile. Mobile devices that go in the trash every 2 years. What do you reasonably expect to be around in 2038 in 32-bit form? Once 64-bit processors became mainstream, the 2038 problem pretty much solved itself. There's only disincentives to building a 32-bit system today let alone in 20+ years. Unlike with Y2k where there was nothing but incentives…
Edit: Ntp has something of a protocol issue to be addressed as well.