34859836704 has 288 divisors, whose sum is σ = 117134398080. Its totient is φ = 8882565120.

The previous prime is 34859836667. The next prime is 34859836733. The reversal of 34859836704 is 40763895843.

It is a Smith number, since the sum of its digits (57) 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 47 ways as a sum of consecutive naturals, for example, 4305492 + ... + 4313580.

It is an arithmetic number, because the mean of its divisors is an integer number (406716660).

Almost surely, 2^34859836704 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 34859836704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58567199040).

34859836704 is an abundant number, since it is smaller than the sum of its proper divisors (82274561376).

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

34859836704 is a wasteful number, since it uses less digits than its factorization.

34859836704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8184 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 34859836704 in words is "thirty-four billion, eight hundred fifty-nine million, eight hundred thirty-six thousand, seven hundred four".