36964896 has 48 divisors (see below), whose sum is σ = 100171008. Its totient is φ = 11923200.

The previous prime is 36964871. The next prime is 36964897. The reversal of 36964896 is 69846963.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (36964897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3235 + ... + 9186.

It is an arithmetic number, because the mean of its divisors is an integer number (2086896).

Almost surely, 2^36964896 is an apocalyptic number.

It is an amenable number.

36964896 is an abundant number, since it is smaller than the sum of its proper divisors (63206112).

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

36964896 is a wasteful number, since it uses less digits than its factorization.

36964896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12457 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 36964896 is about 6079.8763145314. The cubic root of 36964896 is about 333.1167695531.

The spelling of 36964896 in words is "thirty-six million, nine hundred sixty-four thousand, eight hundred ninety-six".