33938920 has 16 divisors (see below), whose sum is σ = 76362660. Its totient is φ = 13575552.

The previous prime is 33938887. The next prime is 33938951. The reversal of 33938920 is 2983933.

33938920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32285124 + 1653796 = 5682^2 + 1286^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33938920.

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, 424197 + ... + 424276.

Almost surely, 2^33938920 is an apocalyptic number.

It is an amenable number.

33938920 is an abundant number, since it is smaller than the sum of its proper divisors (42423740).

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

33938920 is a wasteful number, since it uses less digits than its factorization.

33938920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848484 (or 848480 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 33938920 is about 5825.7119736561. The cubic root of 33938920 is about 323.7670682653.

The spelling of 33938920 in words is "thirty-three million, nine hundred thirty-eight thousand, nine hundred twenty".