34814708568 has 192 divisors, whose sum is σ = 100301198400. Its totient is φ = 10892206080.

The previous prime is 34814708557. The next prime is 34814708623. The reversal of 34814708568 is 86580741843.

34814708568 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 4 + 70 + 8 + 568 = 666.

It is a Cunningham number, because it is equal to 186587²-1.

It is a super-2 number, since 2×34814708568² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 10820496 + ... + 10823712.

It is an arithmetic number, because the mean of its divisors is an integer number (522402075).

Almost surely, 2^34814708568 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 34814708568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50150599200).

34814708568 is an abundant number, since it is smaller than the sum of its proper divisors (65486489832).

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

34814708568 is a wasteful number, since it uses less digits than its factorization.

34814708568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 34814708568 in words is "thirty-four billion, eight hundred fourteen million, seven hundred eight thousand, five hundred sixty-eight".