36612800 has 126 divisors (see below), whose sum is σ = 105023412. Its totient is φ = 12526080.

The previous prime is 36612799. The next prime is 36612817. The reversal of 36612800 is 821663.

It is a self number, because there is not a number n which added to its sum of digits gives 36612800.

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 17 ways as a sum of consecutive naturals, for example, 78167 + ... + 78633.

Almost surely, 2^36612800 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 36612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52511706).

36612800 is an abundant number, since it is smaller than the sum of its proper divisors (68410612).

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

36612800 is a wasteful number, since it uses less digits than its factorization.

36612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 36612800 is about 6050.8511797928. The cubic root of 36612800 is about 332.0557316804.

The spelling of 36612800 in words is "thirty-six million, six hundred twelve thousand, eight hundred".