30344638464 has 468 divisors, whose sum is σ = 103570476984. Its totient is φ = 8534163456.

The previous prime is 30344638459. The next prime is 30344638501. The reversal of 30344638464 is 46483644303.

30344638464 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 4 + 638 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193277874 + ... + 193278030.

It is an arithmetic number, because the mean of its divisors is an integer number (221304438).

Almost surely, 2^30344638464 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 30344638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51785238492).

30344638464 is an abundant number, since it is smaller than the sum of its proper divisors (73225838520).

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

30344638464 is a wasteful number, since it uses less digits than its factorization.

30344638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 30344638464 in words is "thirty billion, three hundred forty-four million, six hundred thirty-eight thousand, four hundred sixty-four".