34397275968 has 378 divisors, whose sum is σ = 112700096418. Its totient is φ = 10408020480.

The previous prime is 34397275933. The next prime is 34397275981. The reversal of 34397275968 is 86957279343.

34397275968 is a `hidden beast` number, since 3 + 4 + 39 + 7 + 2 + 7 + 596 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34346467584 + 50808384 = 185328^2 + 7128^2 .

Its product of digits (68584320) is a multiple of the sum of its prime factors (735).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 50808046 + ... + 50808722.

Almost surely, 2^34397275968 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 34397275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56350048209).

34397275968 is an abundant number, since it is smaller than the sum of its proper divisors (78302820450).

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

34397275968 is an frugal number, since it uses more digits than its factorization.

34397275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 693 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 34397275968 in words is "thirty-four billion, three hundred ninety-seven million, two hundred seventy-five thousand, nine hundred sixty-eight".