33875664 has 40 divisors (see below), whose sum is σ = 87925920. Its totient is φ = 11238528.

The previous prime is 33875657. The next prime is 33875671. The reversal of 33875664 is 46657833.

It is an interprime number because it is at equal distance from previous prime (33875657) and next prime (33875671).

It is a super-2 number, since 2×33875664² = 2295121222881792, 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, 9342 + ... + 12450.

It is an arithmetic number, because the mean of its divisors is an integer number (2198148).

Almost surely, 2^33875664 is an apocalyptic number.

It is an amenable number.

33875664 is an abundant number, since it is smaller than the sum of its proper divisors (54050256).

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

33875664 is a wasteful number, since it uses less digits than its factorization.

33875664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3341 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 33875664 is about 5820.2804056162. The cubic root of 33875664 is about 323.5657954428.

The spelling of 33875664 in words is "thirty-three million, eight hundred seventy-five thousand, six hundred sixty-four".