33838672 has 40 divisors (see below), whose sum is σ = 75209472. Its totient is φ = 14448000.

The previous prime is 33838669. The next prime is 33838699. The reversal of 33838672 is 27683833.

It is a super-2 number, since 2×33838672² = 2290111445447168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47922 + ... + 48622.

Almost surely, 2^33838672 is an apocalyptic number.

It is an amenable number.

33838672 is an abundant number, since it is smaller than the sum of its proper divisors (41370800).

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

33838672 is a wasteful number, since it uses less digits than its factorization.

33838672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 33838672 is about 5817.1016838285. The cubic root of 33838672 is about 323.4479753132.

The spelling of 33838672 in words is "thirty-three million, eight hundred thirty-eight thousand, six hundred seventy-two".