33388672 has 16 divisors (see below), whose sum is σ = 66516750. Its totient is φ = 16694272.

The previous prime is 33388651. The next prime is 33388679. The reversal of 33388672 is 27688333.

It can be written as a sum of positive squares in only one way, i.e., 30206016 + 3182656 = 5496^2 + 1784^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×33388672² = 2229606835847168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33388679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130297 + ... + 130552.

Almost surely, 2^33388672 is an apocalyptic number.

33388672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33388672 is a deficient number, since it is larger than the sum of its proper divisors (33128078).

33388672 is an equidigital number, since it uses as much as digits as its factorization.

33388672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260863 (or 260851 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 33388672 is about 5778.2931735937. The cubic root of 33388672 is about 322.0077927206.

The spelling of 33388672 in words is "thirty-three million, three hundred eighty-eight thousand, six hundred seventy-two".