33364864 has 32 divisors (see below), whose sum is σ = 71585640. Its totient is φ = 15398400.

The previous prime is 33364853. The next prime is 33364871. The reversal of 33364864 is 46846333.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33364864² = 2226428299476992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8362 + ... + 11689.

Almost surely, 2^33364864 is an apocalyptic number.

It is an amenable number.

33364864 is an abundant number, since it is smaller than the sum of its proper divisors (38220776).

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

33364864 is a wasteful number, since it uses less digits than its factorization.

33364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20078 (or 20066 counting only the distinct ones).

The product of its digits is 124416, while the sum is 37.

The square root of 33364864 is about 5776.2326822939. The cubic root of 33364864 is about 321.9312379694.

The spelling of 33364864 in words is "thirty-three million, three hundred sixty-four thousand, eight hundred sixty-four".