30010974336 has 768 divisors, whose sum is σ = 109156320000. Its totient is φ = 8193540096.

The previous prime is 30010974313. The next prime is 30010974421. The reversal of 30010974336 is 63347901003.

30010974336 is a `hidden beast` number, since 300 + 10 + 9 + 7 + 4 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30010974336.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309391440 + ... + 309391536.

It is an arithmetic number, because the mean of its divisors is an integer number (142130625).

Almost surely, 2^30010974336 is an apocalyptic number.

30010974336 is a gapful number since it is divisible by the number (36) 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 30010974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54578160000).

30010974336 is an abundant number, since it is smaller than the sum of its proper divisors (79145345664).

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

30010974336 is an frugal number, since it uses more digits than its factorization.

30010974336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 30010974336 in words is "thirty billion, ten million, nine hundred seventy-four thousand, three hundred thirty-six".