34449082368 has 288 divisors, whose sum is σ = 97586143200. Its totient is φ = 10802692096.

The previous prime is 34449082271. The next prime is 34449082429. The reversal of 34449082368 is 86328094443.

It is a self number, because there is not a number n which added to its sum of digits gives 34449082368.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304859080 + ... + 304859192.

It is an arithmetic number, because the mean of its divisors is an integer number (338840775).

Almost surely, 2^34449082368 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 34449082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48793071600).

34449082368 is an abundant number, since it is smaller than the sum of its proper divisors (63137060832).

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

34449082368 is a wasteful number, since it uses less digits than its factorization.

34449082368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 34449082368 in words is "thirty-four billion, four hundred forty-nine million, eighty-two thousand, three hundred sixty-eight".