30880833984 has 840 divisors, whose sum is σ = 124067502944. Its totient is φ = 7390310400.

The previous prime is 30880833943. The next prime is 30880833989. The reversal of 30880833984 is 48933808803.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30880833984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30880833989) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57080754 + ... + 57081294.

Almost surely, 2^30880833984 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 30880833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62033751472).

30880833984 is an abundant number, since it is smaller than the sum of its proper divisors (93186668960).

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

30880833984 is a wasteful number, since it uses less digits than its factorization.

30880833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 30880833984 in words is "thirty billion, eight hundred eighty million, eight hundred thirty-three thousand, nine hundred eighty-four".