34826107716 has 72 divisors (see below), whose sum is σ = 89765394264. Its totient is φ = 11380561920.

The previous prime is 34826107691. The next prime is 34826107721. The reversal of 34826107716 is 61770162843.

It can be written as a sum of positive squares in 4 ways, for example, as 6229944900 + 28596162816 = 78930^2 + 169104^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 2628340 + ... + 2641556.

It is an arithmetic number, because the mean of its divisors is an integer number (1246741587).

Almost surely, 2^34826107716 is an apocalyptic number.

34826107716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34826107716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44882697132).

34826107716 is an abundant number, since it is smaller than the sum of its proper divisors (54939286548).

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

34826107716 is a wasteful number, since it uses less digits than its factorization.

34826107716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14661 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 34826107716 in words is "thirty-four billion, eight hundred twenty-six million, one hundred seven thousand, seven hundred sixteen".