31980034944 has 576 divisors, whose sum is σ = 110506453200. Its totient is φ = 8798699520.

The previous prime is 31980034903. The next prime is 31980034981. The reversal of 31980034944 is 44943008913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×31980034944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31980034944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233430844 + ... + 233430980.

Almost surely, 2^31980034944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31980034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55253226600).

31980034944 is an abundant number, since it is smaller than the sum of its proper divisors (78526418256).

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

31980034944 is a wasteful number, since it uses less digits than its factorization.

31980034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 31980034944 in words is "thirty-one billion, nine hundred eighty million, thirty-four thousand, nine hundred forty-four".