3623888496960 has 140 divisors (see below), whose sum is σ = 12890809011828. Its totient is φ = 966370258944.

The previous prime is 3623888496947. The next prime is 3623888496971. The reversal of 3623888496960 is 696948883263.

3623888496960 is a `hidden beast` number, since 36 + 23 + 8 + 88 + 496 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 465789870144 + 3158098626816 = 682488^2 + 1777104^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69879337 + ... + 69931176.

Almost surely, 2^{3623888496960} is an apocalyptic number.

3623888496960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3623888496960 is an abundant number, since it is smaller than the sum of its proper divisors (9266920514868).

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

3623888496960 is a wasteful number, since it uses less digits than its factorization.

3623888496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139810542 (or 139810523 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 3623888496960 in words is "three trillion, six hundred twenty-three billion, eight hundred eighty-eight million, four hundred ninety-six thousand, nine hundred sixty".