3664234080 has 144 divisors (see below), whose sum is σ = 13466129040. Its totient is φ = 901960704.

The previous prime is 3664234031. The next prime is 3664234127. The reversal of 3664234080 is 804324663.

It is a happy number.

3664234080 is a `hidden beast` number, since 3 + 6 + 642 + 3 + 4 + 0 + 8 + 0 = 666.

3664234080 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 (144).

It is a super-2 number, since 2×3664234080² = 26853222786066892800, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79150 + ... + 116589.

It is an arithmetic number, because the mean of its divisors is an integer number (93514785).

Almost surely, 2^3664234080 is an apocalyptic number.

3664234080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3664234080 is an abundant number, since it is smaller than the sum of its proper divisors (9801894960).

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

3664234080 is a wasteful number, since it uses less digits than its factorization.

3664234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195773 (or 195762 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3664234080 is about 60532.9173260301. The cubic root of 3664234080 is about 1541.6805850736.

The spelling of 3664234080 in words is "three billion, six hundred sixty-four million, two hundred thirty-four thousand, eighty".