3640311361600 has 63 divisors (see below), whose sum is σ = 8957628939037. Its totient is φ = 1456094017280.

The previous prime is 3640311361553. The next prime is 3640311361601. The reversal of 3640311361600 is 61631130463.

The square root of 3640311361600 is 1907960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1310512090176 + 2329799271424 = 1144776^2 + 1526368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3640311361601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76294551 + ... + 76342249.

Almost surely, 2^{3640311361600} is an apocalyptic number.

3640311361600 is the 1907960-th square number.

It is an amenable number.

3640311361600 is an abundant number, since it is smaller than the sum of its proper divisors (5317317577437).

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

3640311361600 is an frugal number, since it uses more digits than its factorization.

3640311361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95420 (or 47706 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 3640311361600 in words is "three trillion, six hundred forty billion, three hundred eleven million, three hundred sixty-one thousand, six hundred".