34369958304 has 288 divisors, whose sum is σ = 113294039040. Its totient is φ = 9783244800.

The previous prime is 34369958297. The next prime is 34369958327. The reversal of 34369958304 is 40385996343.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3394209 + ... + 3404319.

It is an arithmetic number, because the mean of its divisors is an integer number (393382080).

Almost surely, 2^34369958304 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 34369958304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56647019520).

34369958304 is an abundant number, since it is smaller than the sum of its proper divisors (78924080736).

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

34369958304 is a wasteful number, since it uses less digits than its factorization.

34369958304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10193 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 34369958304 in words is "thirty-four billion, three hundred sixty-nine million, nine hundred fifty-eight thousand, three hundred four".