34795817056 has 576 divisors, whose sum is σ = 101419952256. Its totient is φ = 11386552320.

The previous prime is 34795817033. The next prime is 34795817071. The reversal of 34795817056 is 65071859743.

It is a junction number, because it is equal to n+sod(n) for n = 34795816988 and 34795817006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221629330 + ... + 221629486.

It is an arithmetic number, because the mean of its divisors is an integer number (176076306).

Almost surely, 2^34795817056 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 34795817056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50709976128).

34795817056 is an abundant number, since it is smaller than the sum of its proper divisors (66624135200).

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

34795817056 is a wasteful number, since it uses less digits than its factorization.

34795817056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 34795817056 in words is "thirty-four billion, seven hundred ninety-five million, eight hundred seventeen thousand, fifty-six".