30984482880 has 784 divisors, whose sum is σ = 126349103664. Its totient is φ = 7166361600.

The previous prime is 30984482849. The next prime is 30984482917. The reversal of 30984482880 is 8828448903.

30984482880 is a `hidden beast` number, since 3 + 0 + 9 + 84 + 482 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 146313216 + 30838169664 = 12096^2 + 175608^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51554580 + ... + 51555180.

It is an arithmetic number, because the mean of its divisors is an integer number (161159571).

Almost surely, 2^30984482880 is an apocalyptic number.

30984482880 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 30984482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63174551832).

30984482880 is an abundant number, since it is smaller than the sum of its proper divisors (95364620784).

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

30984482880 is a wasteful number, since it uses less digits than its factorization.

30984482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 30984482880 in words is "thirty billion, nine hundred eighty-four million, four hundred eighty-two thousand, eight hundred eighty".