3605616864 has 72 divisors (see below), whose sum is σ = 10607065560. Its totient is φ = 1160425728.

The previous prime is 3605616863. The next prime is 3605616899. The reversal of 3605616864 is 4686165063.

3605616864 is a `hidden beast` number, since 3 + 6 + 0 + 561 + 6 + 86 + 4 = 666.

3605616864 is digitally balanced in base 2, because in such base 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 (72).

It is a super-2 number, since 2×3605616864² = 26000945939922388992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605616863) 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, 207502 + ... + 224205.

It is an arithmetic number, because the mean of its divisors is an integer number (147320355).

Almost surely, 2^3605616864 is an apocalyptic number.

It is an amenable number.

3605616864 is an abundant number, since it is smaller than the sum of its proper divisors (7001448696).

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

3605616864 is a wasteful number, since it uses less digits than its factorization.

3605616864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431752 (or 431741 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3605616864 is about 60046.7889566128. The cubic root of 3605616864 is about 1533.4155350176.

The spelling of 3605616864 in words is "three billion, six hundred five million, six hundred sixteen thousand, eight hundred sixty-four".