33725664 has 72 divisors (see below), whose sum is σ = 109614960. Its totient is φ = 9635328.

The previous prime is 33725663. The next prime is 33725669. The reversal of 33725664 is 46652733.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33725664² = 2274840824481792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33725663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6349 + ... + 10380.

It is an arithmetic number, because the mean of its divisors is an integer number (1522430).

Almost surely, 2^33725664 is an apocalyptic number.

It is an amenable number.

33725664 is an abundant number, since it is smaller than the sum of its proper divisors (75889296).

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

33725664 is a wasteful number, since it uses less digits than its factorization.

33725664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16752 (or 16741 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 33725664 is about 5807.3801322111. The cubic root of 33725664 is about 323.0875102758.

The spelling of 33725664 in words is "thirty-three million, seven hundred twenty-five thousand, six hundred sixty-four".