30484905984 has 720 divisors, whose sum is σ = 106867604480. Its totient is φ = 8599633920.

The previous prime is 30484905967. The next prime is 30484905989. The reversal of 30484905984 is 48950948403.

30484905984 is a `hidden beast` number, since 3 + 0 + 4 + 8 + 49 + 0 + 598 + 4 = 666.

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 30484905984.

It is not an unprimeable number, because it can be changed into a prime (30484905989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983384049 + ... + 983384079.

Almost surely, 2^30484905984 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 30484905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53433802240).

30484905984 is an abundant number, since it is smaller than the sum of its proper divisors (76382698496).

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

30484905984 is an equidigital number, since it uses as much as digits as its factorization.

30484905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 30484905984 in words is "thirty billion, four hundred eighty-four million, nine hundred five thousand, nine hundred eighty-four".