3132983992320 has 1568 divisors, whose sum is σ = 13886368155072. Its totient is φ = 660451885056.

The previous prime is 3132983992309. The next prime is 3132983992349. The reversal of 3132983992320 is 232993892313.

It is a happy number.

3132983992320 is a `hidden beast` number, since 3 + 1 + 329 + 83 + 9 + 9 + 232 + 0 = 666.

It is a super-2 number, since 2×3132983992320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 2717244864 + ... + 2717246016.

Almost surely, 2^{3132983992320} is an apocalyptic number.

3132983992320 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 3132983992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943184077536).

3132983992320 is an abundant number, since it is smaller than the sum of its proper divisors (10753384162752).

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

3132983992320 is an equidigital number, since it uses as much as digits as its factorization.

3132983992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 3132983992320 in words is "three trillion, one hundred thirty-two billion, nine hundred eighty-three million, nine hundred ninety-two thousand, three hundred twenty".