34189122768 has 160 divisors (see below), whose sum is σ = 93807329280. Its totient is φ = 10713392640.

The previous prime is 34189122719. The next prime is 34189122857. The reversal of 34189122768 is 86722198143.

It is a happy number.

It is a super-2 number, since 2×34189122768² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34189122768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9719346 + ... + 9722862.

It is an arithmetic number, because the mean of its divisors is an integer number (586295808).

Almost surely, 2^34189122768 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 34189122768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46903664640).

34189122768 is an abundant number, since it is smaller than the sum of its proper divisors (59618206512).

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

34189122768 is a wasteful number, since it uses less digits than its factorization.

34189122768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3739 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 34189122768 in words is "thirty-four billion, one hundred eighty-nine million, one hundred twenty-two thousand, seven hundred sixty-eight".