36915984 has 120 divisors (see below), whose sum is σ = 120474432. Its totient is φ = 10333440.

The previous prime is 36915971. The next prime is 36916001. The reversal of 36915984 is 48951963.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53079 + ... + 53769.

Almost surely, 2^36915984 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 36915984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60237216).

36915984 is an abundant number, since it is smaller than the sum of its proper divisors (83558448).

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

36915984 is a wasteful number, since it uses less digits than its factorization.

36915984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 756 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 36915984 is about 6075.8525327727. The cubic root of 36915984 is about 332.9697778486.

The spelling of 36915984 in words is "thirty-six million, nine hundred fifteen thousand, nine hundred eighty-four".