33955768 has 64 divisors (see below), whose sum is σ = 80064000. Its totient is φ = 13115520.

The previous prime is 33955729. The next prime is 33955771. The reversal of 33955768 is 86755933.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122446 + ... + 122722.

It is an arithmetic number, because the mean of its divisors is an integer number (1251000).

Almost surely, 2^33955768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33955768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40032000).

33955768 is an abundant number, since it is smaller than the sum of its proper divisors (46108232).

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

33955768 is a wasteful number, since it uses less digits than its factorization.

33955768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its digits is 680400, while the sum is 46.

The square root of 33955768 is about 5827.1577977604. The cubic root of 33955768 is about 323.8206343499.

The spelling of 33955768 in words is "thirty-three million, nine hundred fifty-five thousand, seven hundred sixty-eight".