34253057664 has 384 divisors, whose sum is σ = 117937198080. Its totient is φ = 9336176640.

The previous prime is 34253057647. The next prime is 34253057681. The reversal of 34253057664 is 46675035243.

34253057664 is a `hidden beast` number, since 3 + 4 + 2 + 530 + 57 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (34253057647) and next prime (34253057681).

It is a tau number, because it is divible by the number of its divisors (384).

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, 18247894 + ... + 18249770.

It is an arithmetic number, because the mean of its divisors is an integer number (307128120).

Almost surely, 2^34253057664 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 34253057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968599040).

34253057664 is an abundant number, since it is smaller than the sum of its proper divisors (83684140416).

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

34253057664 is a wasteful number, since it uses less digits than its factorization.

34253057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 34253057664 in words is "thirty-four billion, two hundred fifty-three million, fifty-seven thousand, six hundred sixty-four".