3696360800 has 72 divisors (see below), whose sum is σ = 9844104312. Its totient is φ = 1344128000.

The previous prime is 3696360763. The next prime is 3696360817. The reversal of 3696360800 is 80636963.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201221 + ... + 218820.

It is an arithmetic number, because the mean of its divisors is an integer number (136723671).

Almost surely, 2^3696360800 is an apocalyptic number.

It is an amenable number.

3696360800 is an abundant number, since it is smaller than the sum of its proper divisors (6147743512).

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

3696360800 is a wasteful number, since it uses less digits than its factorization.

3696360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420072 (or 420059 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 3696360800 is about 60797.7039040127. The cubic root of 3696360800 is about 1546.1731192116.

The spelling of 3696360800 in words is "three billion, six hundred ninety-six million, three hundred sixty thousand, eight hundred".