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Museums and old-computer enthusiasts will feel the pain of this; most modern systems have long moved on to 64-bit.
a lot of software uses 32 bit integers to store dates so it doesn’t matter on what cpu it runs
From the linked Deep Impact space probe page:

The spacecraft was lost and: "the most probable reason of software malfunction was a Y2K-like problem. August 11, 2013, 00:38:49, was 2^32 of one-tenth seconds from January 1, 2000, leading to speculation that a system on the craft tracked time in one-tenth second increments since January 1, 2000, and stored it in a signed 32-bit integer, which then overflowed at this time, similar to the Year 2038 problem"