30752916336 has 120 divisors (see below), whose sum is σ = 91173527120. Its totient is φ = 9649456128.

The previous prime is 30752916277. The next prime is 30752916347. The reversal of 30752916336 is 63361925703.

30752916336 is a `hidden beast` number, since 3 + 0 + 7 + 5 + 2 + 9 + 1 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30752916291 and 30752916300.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 393756 + ... + 465348.

Almost surely, 2^30752916336 is an apocalyptic number.

30752916336 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 30752916336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45586763560).

30752916336 is an abundant number, since it is smaller than the sum of its proper divisors (60420610784).

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

30752916336 is a wasteful number, since it uses less digits than its factorization.

30752916336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71783 (or 71774 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 30752916336 in words is "thirty billion, seven hundred fifty-two million, nine hundred sixteen thousand, three hundred thirty-six".