3131959794000 has 320 divisors, whose sum is σ = 10376141098752. Its totient is φ = 812162304000.

The previous prime is 3131959793993. The next prime is 3131959794001. The reversal of 3131959794000 is 4979591313.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131959794001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608499427 + ... + 608504573.

Almost surely, 2^{3131959794000} is an apocalyptic number.

3131959794000 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 3131959794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188070549376).

3131959794000 is an abundant number, since it is smaller than the sum of its proper divisors (7244181304752).

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

3131959794000 is a wasteful number, since it uses less digits than its factorization.

3131959794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7951 (or 7935 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The spelling of 3131959794000 in words is "three trillion, one hundred thirty-one billion, nine hundred fifty-nine million, seven hundred ninety-four thousand".