30978874368 has 528 divisors, whose sum is σ = 104911206400. Its totient is φ = 8719073280.

The previous prime is 30978874361. The next prime is 30978874369. The reversal of 30978874368 is 86347887903.

30978874368 is a `hidden beast` number, since 30 + 97 + 8 + 87 + 436 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30978874361) 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, 70566693 + ... + 70567131.

Almost surely, 2^30978874368 is an apocalyptic number.

30978874368 is a gapful number since it is divisible by the number (38) 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 30978874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52455603200).

30978874368 is an abundant number, since it is smaller than the sum of its proper divisors (73932332032).

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

30978874368 is a wasteful number, since it uses less digits than its factorization.

30978874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 30978874368 in words is "thirty billion, nine hundred seventy-eight million, eight hundred seventy-four thousand, three hundred sixty-eight".