Can you tell me what power is greater?

Consider all integers \(n\) which satisfy the following condition:

\( 36! \equiv 0 \pmod{n} \), but for all \( i < 36 \), we have \( i! \not \equiv 0 \pmod{n} \).

The smallest positive integer value of \(n\) that satisfies this condition can be written in the form \( a^b \), where \(a\) is a prime number. What is the value of \( a + b \)?

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