2 1/2" EPVC schedule 40
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The required size of a conduit raceway for a 3-5000 mcm wire is 300 kcmil. It maximizes the limits on the wire fill for raceways.
300 kcmil @ 75°
For a 3200 amp service, the appropriate wire size will depend on several factors, including the type of wire (copper or aluminum), insulation type, and installation conditions (such as ambient temperature and conduit use). Generally, for copper wire, you would typically use 2500 kcmil or larger, while for aluminum wire, you might use around 3500 kcmil or larger. It's crucial to consult the National Electrical Code (NEC) and a qualified electrician to ensure compliance with local codes and safety standards.
You can pull 10 #3 gauge wires in a 2 1/2" conduit.
The key parameter in sizing wire is the current requirement. Once you know that you can look up value in a wire gauge table. The length of the run is important for longer runs because of the resistance of the wire itself. Aluminum wire requires a larger diameter than copper for the same current. Once you calculate the wire size you can then size the conduit.