36897984 has 112 divisors (see below), whose sum is σ = 109971840. Its totient is φ = 12130560.

The previous prime is 36897941. The next prime is 36897989. The reversal of 36897984 is 48979863.

It is a super-2 number, since 2×36897984² = 2722922446528512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36897984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36897989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226287 + ... + 226449.

Almost surely, 2^36897984 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 36897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54985920).

36897984 is an abundant number, since it is smaller than the sum of its proper divisors (73073856).

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

36897984 is a wasteful number, since it uses less digits than its factorization.

36897984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 36897984 is about 6074.3710785562. The cubic root of 36897984 is about 332.9156510654.

The spelling of 36897984 in words is "thirty-six million, eight hundred ninety-seven thousand, nine hundred eighty-four".