34664638464 has 432 divisors, whose sum is σ = 109953698400. Its totient is φ = 10490757120.

The previous prime is 34664638427. The next prime is 34664638471. The reversal of 34664638464 is 46483646643.

34664638464 is a `hidden beast` number, since 3 + 46 + 6 + 463 + 84 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34664638464.

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, 336549837 + ... + 336549939.

It is an arithmetic number, because the mean of its divisors is an integer number (254522450).

Almost surely, 2^34664638464 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 34664638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54976849200).

34664638464 is an abundant number, since it is smaller than the sum of its proper divisors (75289059936).

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

34664638464 is a wasteful number, since it uses less digits than its factorization.

34664638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 158 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 34664638464 in words is "thirty-four billion, six hundred sixty-four million, six hundred thirty-eight thousand, four hundred sixty-four".