36604800 has 288 divisors, whose sum is σ = 138116160. Its totient is φ = 9216000.

The previous prime is 36604751. The next prime is 36604817. The reversal of 36604800 is 840663.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×36604800² = 2679822766080000, 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 35 ways as a sum of consecutive naturals, for example, 892780 + ... + 892820.

It is an arithmetic number, because the mean of its divisors is an integer number (479570).

Almost surely, 2^36604800 is an apocalyptic number.

36604800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

36604800 is an abundant number, since it is smaller than the sum of its proper divisors (101511360).

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

36604800 is a wasteful number, since it uses less digits than its factorization.

36604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36604800 is about 6050.1900796587. The cubic root of 36604800 is about 332.0315448809.

The spelling of 36604800 in words is "thirty-six million, six hundred four thousand, eight hundred".