33913920 has 56 divisors (see below), whose sum is σ = 107679744. Its totient is φ = 9043456.

The previous prime is 33913889. The next prime is 33913921. The reversal of 33913920 is 2931933.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (33913921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16704 + ... + 18623.

Almost surely, 2^33913920 is an apocalyptic number.

33913920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33913920 is an abundant number, since it is smaller than the sum of its proper divisors (73765824).

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

33913920 is a wasteful number, since it uses less digits than its factorization.

33913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35347 (or 35337 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 33913920 is about 5823.5659178891. The cubic root of 33913920 is about 323.6875512490.

The spelling of 33913920 in words is "thirty-three million, nine hundred thirteen thousand, nine hundred twenty".