33682672 has 20 divisors (see below), whose sum is σ = 68098320. Its totient is φ = 16108928.

The previous prime is 33682667. The next prime is 33682679. The reversal of 33682672 is 27628633.

It is a super-2 number, since 2×33682672² = 2269044786119168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33682679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45397 + ... + 46132.

It is an arithmetic number, because the mean of its divisors is an integer number (3404916).

Almost surely, 2^33682672 is an apocalyptic number.

It is an amenable number.

33682672 is an abundant number, since it is smaller than the sum of its proper divisors (34415648).

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

33682672 is a wasteful number, since it uses less digits than its factorization.

33682672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91560 (or 91554 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 33682672 is about 5803.6774548557. The cubic root of 33682672 is about 322.9501659611.

The spelling of 33682672 in words is "thirty-three million, six hundred eighty-two thousand, six hundred seventy-two".