34828596704 has 96 divisors (see below), whose sum is σ = 75452912640. Its totient is φ = 15694156800.

The previous prime is 34828596659. The next prime is 34828596707. The reversal of 34828596704 is 40769582843.

It is a super-2 number, since 2×34828596704² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34828596704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34828596707) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22056587 + ... + 22058165.

It is an arithmetic number, because the mean of its divisors is an integer number (785967840).

Almost surely, 2^34828596704 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 34828596704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37726456320).

34828596704 is an abundant number, since it is smaller than the sum of its proper divisors (40624315936).

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

34828596704 is a wasteful number, since it uses less digits than its factorization.

34828596704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 34828596704 in words is "thirty-four billion, eight hundred twenty-eight million, five hundred ninety-six thousand, seven hundred four".