30934726416 has 240 divisors, whose sum is σ = 100970620800. Its totient is φ = 9050469120.

The previous prime is 30934726409. The next prime is 30934726453. The reversal of 30934726416 is 61462743903.

30934726416 is a `hidden beast` number, since 30 + 9 + 347 + 264 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1505685 + ... + 1526091.

It is an arithmetic number, because the mean of its divisors is an integer number (420710920).

Almost surely, 2^30934726416 is an apocalyptic number.

30934726416 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 30934726416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50485310400).

30934726416 is an abundant number, since it is smaller than the sum of its proper divisors (70035894384).

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

30934726416 is a wasteful number, since it uses less digits than its factorization.

30934726416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20475 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 30934726416 in words is "thirty billion, nine hundred thirty-four million, seven hundred twenty-six thousand, four hundred sixteen".