33938968 has 24 divisors (see below), whose sum is σ = 74025900. Its totient is φ = 14545104.

The previous prime is 33938951. The next prime is 33938977. The reversal of 33938968 is 86983933.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 42898 + ... + 43681.

Almost surely, 2^33938968 is an apocalyptic number.

It is an amenable number.

33938968 is an abundant number, since it is smaller than the sum of its proper divisors (40086932).

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

33938968 is a wasteful number, since it uses less digits than its factorization.

33938968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86599 (or 86588 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 33938968 is about 5825.7160933228. The cubic root of 33938968 is about 323.7672209004.

The spelling of 33938968 in words is "thirty-three million, nine hundred thirty-eight thousand, nine hundred sixty-eight".