30813873984 has 112 divisors (see below), whose sum is σ = 90742861440. Its totient is φ = 10253629440.

The previous prime is 30813873901. The next prime is 30813874037. The reversal of 30813873984 is 48937831803.

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 30813873984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009669 + ... + 1039739.

It is an arithmetic number, because the mean of its divisors is an integer number (810204120).

Almost surely, 2^30813873984 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 30813873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45371430720).

30813873984 is an abundant number, since it is smaller than the sum of its proper divisors (59928987456).

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

30813873984 is a wasteful number, since it uses less digits than its factorization.

30813873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30685 (or 30669 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 30813873984 in words is "thirty billion, eight hundred thirteen million, eight hundred seventy-three thousand, nine hundred eighty-four".