3659634720 has 144 divisors (see below), whose sum is σ = 14272614720. Its totient is φ = 836485632.

The previous prime is 3659634709. The next prime is 3659634751. The reversal of 3659634720 is 274369563.

3659634720 is a `hidden beast` number, since 3 + 6 + 5 + 9 + 634 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171450 + ... + 191609.

It is an arithmetic number, because the mean of its divisors is an integer number (99115380).

Almost surely, 2^3659634720 is an apocalyptic number.

3659634720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3659634720 is an abundant number, since it is smaller than the sum of its proper divisors (10612980000).

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

3659634720 is a wasteful number, since it uses less digits than its factorization.

3659634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363087 (or 363076 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3659634720 is about 60494.9148276118. The cubic root of 3659634720 is about 1541.0352739656.

The spelling of 3659634720 in words is "three billion, six hundred fifty-nine million, six hundred thirty-four thousand, seven hundred twenty".