36628800 has 168 divisors, whose sum is σ = 129637536. Its totient is φ = 9000960.

The previous prime is 36628759. The next prime is 36628817. The reversal of 36628800 is 882663.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62107 + ... + 62693.

It is an arithmetic number, because the mean of its divisors is an integer number (771652).

Almost surely, 2^36628800 is an apocalyptic number.

36628800 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 36628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64818768).

36628800 is an abundant number, since it is smaller than the sum of its proper divisors (93008736).

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

36628800 is a wasteful number, since it uses less digits than its factorization.

36628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 36628800 is about 6052.1731634182. The cubic root of 36628800 is about 332.1040947117.

The spelling of 36628800 in words is "thirty-six million, six hundred twenty-eight thousand, eight hundred".