34617896856 has 128 divisors (see below), whose sum is σ = 97204800000. Its totient is φ = 11414390400.

The previous prime is 34617896851. The next prime is 34617896897. The reversal of 34617896856 is 65869871643.

34617896856 is a `hidden beast` number, since 3 + 4 + 617 + 8 + 9 + 6 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34617896793 and 34617896802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34617896851) 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 31 ways as a sum of consecutive naturals, for example, 24744045 + ... + 24745443.

It is an arithmetic number, because the mean of its divisors is an integer number (759412500).

Almost surely, 2^34617896856 is an apocalyptic number.

34617896856 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 34617896856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48602400000).

34617896856 is an abundant number, since it is smaller than the sum of its proper divisors (62586903144).

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

34617896856 is a wasteful number, since it uses less digits than its factorization.

34617896856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2564 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 34617896856 in words is "thirty-four billion, six hundred seventeen million, eight hundred ninety-six thousand, eight hundred fifty-six".