34075117568 has 36 divisors (see below), whose sum is σ = 68150304495. Its totient is φ = 17033381888.

The previous prime is 34075117553. The next prime is 34075117603. The reversal of 34075117568 is 86571157043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 17037558784 + 17037558784 = 130528^2 + 130528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=130528.

It is a super-2 number, since 2×34075117568² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8351753 + ... + 8355831.

Almost surely, 2^34075117568 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 34075117568

34075117568 is an abundant number, since it is smaller than the sum of its proper divisors (34075186927).

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

34075117568 is an frugal number, since it uses more digits than its factorization.

34075117568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 34075117568 in words is "thirty-four billion, seventy-five million, one hundred seventeen thousand, five hundred sixty-eight".