A 350 MCM copper conductor with an insulation factor of 75 or 90 degree C is rated at 310 and 325 respectively. So depending on the insulation of the wire that is used, a parallel wire configuration will give you a total of 620 at 75 degrees C or 650 at 90 degrees C.
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2 copper
The minimum size wire that can be paralleled together stated in the electrical code book is a #3 copper conductor.
There is no one wire that is rated for 1800 amps. The service will have to be a quad parallel of the conductors. A 600 MCM conductor with an insulation factor of 90 degrees C is rated at 475 amps. This conductor paralleled into four equal lengths will give an ampacity of 1900 amps for each leg of the service.
This is a voltage drop to establish wire size question. For a correct answer to this question two values are needed. One value needed is the voltage and the other is whether it is three phase or a single phase installation.
AWG #3 copper.