30388856976 has 135 divisors (see below), whose sum is σ = 86663055609. Its totient is φ = 9940651776.

The previous prime is 30388856969. The next prime is 30388856989. The reversal of 30388856976 is 67965888303.

The square root of 30388856976 is 174324.

It is a perfect power (a square), and thus also a powerful number.

30388856976 is a `hidden beast` number, since 30 + 38 + 8 + 8 + 569 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17250195600 + 13138661376 = 131340^2 + 114624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 152707725 + ... + 152707923.

Almost surely, 2^30388856976 is an apocalyptic number.

30388856976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30388856976 is the 174324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30388856976

30388856976 is an abundant number, since it is smaller than the sum of its proper divisors (56274198633).

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

30388856976 is an equidigital number, since it uses as much as digits as its factorization.

30388856976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

It can be divided in two parts, 30388 and 856976, that added together give a square (887364 = 942²).

The spelling of 30388856976 in words is "thirty billion, three hundred eighty-eight million, eight hundred fifty-six thousand, nine hundred seventy-six".