33788768 has 24 divisors (see below), whose sum is σ = 71639568. Its totient is φ = 15594624.

The previous prime is 33788767. The next prime is 33788773. The reversal of 33788768 is 86788733.

It is a super-2 number, since 2×33788768² = 2283361685915648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33788767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40196 + ... + 41027.

It is an arithmetic number, because the mean of its divisors is an integer number (2984982).

Almost surely, 2^33788768 is an apocalyptic number.

It is an amenable number.

33788768 is an abundant number, since it is smaller than the sum of its proper divisors (37850800).

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

33788768 is a wasteful number, since it uses less digits than its factorization.

33788768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81246 (or 81238 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 50.

The square root of 33788768 is about 5812.8106798691. The cubic root of 33788768 is about 323.2888941181.

The spelling of 33788768 in words is "thirty-three million, seven hundred eighty-eight thousand, seven hundred sixty-eight".