33604768 has 36 divisors (see below), whose sum is σ = 69848730. Its totient is φ = 15912576.

The previous prime is 33604757. The next prime is 33604811. The reversal of 33604768 is 86740633.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 10679824 = 4788^2 + 3268^2 .

It is a super-2 number, since 2×33604768² = 2258560864667648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10098 + ... + 13006.

Almost surely, 2^33604768 is an apocalyptic number.

33604768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33604768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34924365).

33604768 is an abundant number, since it is smaller than the sum of its proper divisors (36243962).

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

33604768 is a wasteful number, since it uses less digits than its factorization.

33604768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2930 counting only the distinct ones).

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

The square root of 33604768 is about 5796.9619629596. The cubic root of 33604768 is about 322.7009920302.

It can be divided in two parts, 3360 and 4768, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 33604768 in words is "thirty-three million, six hundred four thousand, seven hundred sixty-eight".