34564949328 has 160 divisors (see below), whose sum is σ = 109992960000. Its totient is φ = 9108223488.

The previous prime is 34564949327. The next prime is 34564949329. The reversal of 34564949328 is 82394946543.

It is an interprime number because it is at equal distance from previous prime (34564949327) and next prime (34564949329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34564949327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6544993 + ... + 6550271.

It is an arithmetic number, because the mean of its divisors is an integer number (687456000).

Almost surely, 2^34564949328 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 34564949328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480000).

34564949328 is an abundant number, since it is smaller than the sum of its proper divisors (75428010672).

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

34564949328 is a wasteful number, since it uses less digits than its factorization.

34564949328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6803 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 57.

The spelling of 34564949328 in words is "thirty-four billion, five hundred sixty-four million, nine hundred forty-nine thousand, three hundred twenty-eight".