30381364224 has 352 divisors, whose sum is σ = 97898348160. Its totient is φ = 9268494336.

The previous prime is 30381364157. The next prime is 30381364253. The reversal of 30381364224 is 42246318303.

30381364224 is a `hidden beast` number, since 3 + 0 + 3 + 8 + 1 + 3 + 642 + 2 + 4 = 666.

It is a super-2 number, since 2×30381364224² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17389719 + ... + 17391465.

Almost surely, 2^30381364224 is an apocalyptic number.

30381364224 is a gapful number since it is divisible by the number (34) 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 30381364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48949174080).

30381364224 is an abundant number, since it is smaller than the sum of its proper divisors (67516983936).

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

30381364224 is a wasteful number, since it uses less digits than its factorization.

30381364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 30381364224 in words is "thirty billion, three hundred eighty-one million, three hundred sixty-four thousand, two hundred twenty-four".