31976207890380 has 384 divisors, whose sum is σ = 113269493836800. Its totient is φ = 7423943528448.

The previous prime is 31976207890373. The next prime is 31976207890421. The reversal of 31976207890380 is 8309870267913.

31976207890380 is a `hidden beast` number, since 3 + 19 + 76 + 20 + 78 + 90 + 380 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29749204 + ... + 30805316.

It is an arithmetic number, because the mean of its divisors is an integer number (294972640200).

Almost surely, 2^{31976207890380} is an apocalyptic number.

31976207890380 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 31976207890380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56634746918400).

31976207890380 is an abundant number, since it is smaller than the sum of its proper divisors (81293285946420).

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

31976207890380 is a wasteful number, since it uses less digits than its factorization.

31976207890380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056390 (or 1056382 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 31976207890380 in words is "thirty-one trillion, nine hundred seventy-six billion, two hundred seven million, eight hundred ninety thousand, three hundred eighty".