33920944 has 20 divisors (see below), whose sum is σ = 67842880. Its totient is φ = 16413120.

The previous prime is 33920927. The next prime is 33920959. The reversal of 33920944 is 44902933.

33920944 is an admirable number.

It is a super-2 number, since 2×33920944² = 2301260883702272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33699 + ... + 34690.

It is an arithmetic number, because the mean of its divisors is an integer number (3392144).

Almost surely, 2^33920944 is an apocalyptic number.

It is an amenable number.

33920944 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

33920944 is a wasteful number, since it uses less digits than its factorization.

33920944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68428 (or 68422 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 33920944 is about 5824.1689535933. The cubic root of 33920944 is about 323.7098962961.

The spelling of 33920944 in words is "thirty-three million, nine hundred twenty thousand, nine hundred forty-four".