36921920 has 112 divisors (see below), whose sum is σ = 102705408. Its totient is φ = 12380160.

The previous prime is 36921889. The next prime is 36921947. The reversal of 36921920 is 2912963.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 118565 + ... + 118875.

Almost surely, 2^36921920 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 36921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51352704).

36921920 is an abundant number, since it is smaller than the sum of its proper divisors (65783488).

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

36921920 is a wasteful number, since it uses less digits than its factorization.

36921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 36921920 is about 6076.3410042558. The cubic root of 36921920 is about 332.9876238009.

The spelling of 36921920 in words is "thirty-six million, nine hundred twenty-one thousand, nine hundred twenty".