33732864 has 135 divisors (see below), whose sum is σ = 106985515. Its totient is φ = 10222080.

The previous prime is 33732859. The next prime is 33732883. The reversal of 33732864 is 46823733.

The square root of 33732864 is 5808.

It is a perfect power (a square), and thus also a powerful number.

33732864 is a `hidden beast` number, since 3 + 373 + 286 + 4 = 666.

It is a super-2 number, since 2×33732864² = 2275812227284992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

Its product of digits (72576) is a multiple of the sum of its prime divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3066619 + ... + 3066629.

Almost surely, 2^33732864 is an apocalyptic number.

33732864 is the 5808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33732864

33732864 is an abundant number, since it is smaller than the sum of its proper divisors (73252651).

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

33732864 is an frugal number, since it uses more digits than its factorization.

33732864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 16 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The cubic root of 33732864 is about 323.1105003302.

Multiplying 33732864 by its sum of digits (36), we get a square (1214383104 = 34848²).

33732864 divided by its sum of digits (36) gives a square (937024 = 968²).

It can be divided in two parts, 33732 and 864, that added together give a square (34596 = 186²).

The spelling of 33732864 in words is "thirty-three million, seven hundred thirty-two thousand, eight hundred sixty-four".