Does the sqlite 'file change counter' overflow when it exceeds the maximum size?

According to http://ift.tt/1nJiMVh SQLite3 maintains a 4-byte big-endian integer file change counter in byte 24..27 of the database file.

Does the file change counter overflow when it exceeds the maximum size?

(I feel the answer is: yes, it does overflow)

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I ask because I wanted something akin to checksum for the sqlite file, and found file change counter through another StackOverflow question: Checksum for a SQLite database?