34856123328 has 168 divisors, whose sum is σ = 108444231168. Its totient is φ = 10640222208.

The previous prime is 34856123249. The next prime is 34856123359. The reversal of 34856123328 is 82332165843.

34856123328 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 612 + 3 + 3 + 28 = 666.

It is a congruent number.

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, 932650 + ... + 969302.

It is an arithmetic number, because the mean of its divisors is an integer number (645501376).

Almost surely, 2^34856123328 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 34856123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54222115584).

34856123328 is an abundant number, since it is smaller than the sum of its proper divisors (73588107840).

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

34856123328 is a wasteful number, since it uses less digits than its factorization.

34856123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36811 (or 36798 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 34856123328 in words is "thirty-four billion, eight hundred fifty-six million, one hundred twenty-three thousand, three hundred twenty-eight".