30393964224 has 336 divisors, whose sum is σ = 96607274400. Its totient is φ = 9078423552.

The previous prime is 30393964187. The next prime is 30393964319. The reversal of 30393964224 is 42246939303.

30393964224 is a `hidden beast` number, since 3 + 0 + 39 + 396 + 4 + 224 = 666.

It is a super-2 number, since 2×30393964224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30393964224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39319102 + ... + 39319874.

It is an arithmetic number, because the mean of its divisors is an integer number (287521650).

Almost surely, 2^30393964224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30393964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48303637200).

30393964224 is an abundant number, since it is smaller than the sum of its proper divisors (66213310176).

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

30393964224 is a wasteful number, since it uses less digits than its factorization.

30393964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 30393964224 in words is "thirty billion, three hundred ninety-three million, nine hundred sixty-four thousand, two hundred twenty-four".