3604133664 has 48 divisors (see below), whose sum is σ = 10512059040. Its totient is φ = 1201377600.

The previous prime is 3604133657. The next prime is 3604133711. The reversal of 3604133664 is 4663314063.

3604133664 is a `hidden beast` number, since 3 + 604 + 13 + 36 + 6 + 4 = 666.

3604133664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2084862 + ... + 2086589.

It is an arithmetic number, because the mean of its divisors is an integer number (219001230).

Almost surely, 2^3604133664 is an apocalyptic number.

It is an amenable number.

3604133664 is an abundant number, since it is smaller than the sum of its proper divisors (6907925376).

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

3604133664 is a wasteful number, since it uses less digits than its factorization.

3604133664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171470 (or 4171456 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3604133664 is about 60034.4373172598. The cubic root of 3604133664 is about 1533.2052451710.

The spelling of 3604133664 in words is "three billion, six hundred four million, one hundred thirty-three thousand, six hundred sixty-four".