3132955687680 has 2592 divisors, whose sum is σ = 14735373778944. Its totient is φ = 620511363072.

The previous prime is 3132955687651. The next prime is 3132955687699. The reversal of 3132955687680 is 867865592313.

3132955687680 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 9 + 5 + 568 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×3132955687680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8180040769 + ... + 8180041151.

Almost surely, 2^{3132955687680} is an apocalyptic number.

3132955687680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132955687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367686889472).

3132955687680 is an abundant number, since it is smaller than the sum of its proper divisors (11602418091264).

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

3132955687680 is a wasteful number, since it uses less digits than its factorization.

3132955687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3132955687680 in words is "three trillion, one hundred thirty-two billion, nine hundred fifty-five million, six hundred eighty-seven thousand, six hundred eighty".