36225904 has 80 divisors (see below), whose sum is σ = 83994624. Its totient is φ = 14918400.

The previous prime is 36225899. The next prime is 36225971. The reversal of 36225904 is 40952263.

It is a super-2 number, since 2×36225904² = 2624632241234432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162337 + ... + 162559.

Almost surely, 2^36225904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36225904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41997312).

36225904 is an abundant number, since it is smaller than the sum of its proper divisors (47768720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36225904 is a wasteful number, since it uses less digits than its factorization.

36225904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 36225904 is about 6018.7958928676. The cubic root of 36225904 is about 330.8819505832.

The spelling of 36225904 in words is "thirty-six million, two hundred twenty-five thousand, nine hundred four".