34768628336 has 80 divisors (see below), whose sum is σ = 76628428800. Its totient is φ = 15168142080.

The previous prime is 34768628287. The next prime is 34768628359. The reversal of 34768628336 is 63382686743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214565 + ... + 339963.

It is an arithmetic number, because the mean of its divisors is an integer number (957855360).

Almost surely, 2^34768628336 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 34768628336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38314214400).

34768628336 is an abundant number, since it is smaller than the sum of its proper divisors (41859800464).

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

34768628336 is a wasteful number, since it uses less digits than its factorization.

34768628336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125494 (or 125488 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 56.

The spelling of 34768628336 in words is "thirty-four billion, seven hundred sixty-eight million, six hundred twenty-eight thousand, three hundred thirty-six".