34006318117 has 16 divisors (see below), whose sum is σ = 34972300800. Its totient is φ = 33055102080.

The previous prime is 34006318063. The next prime is 34006318121. The reversal of 34006318117 is 71181360043.

It is a cyclic number.

It is not a de Polignac number, because 34006318117 - 2¹⁵ = 34006285349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34006318417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4242009 + ... + 4250017.

It is an arithmetic number, because the mean of its divisors is an integer number (2185768800).

Almost surely, 2^34006318117 is an apocalyptic number.

It is an amenable number.

34006318117 is a deficient number, since it is larger than the sum of its proper divisors (965982683).

34006318117 is an equidigital number, since it uses as much as digits as its factorization.

34006318117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 34006318117 in words is "thirty-four billion, six million, three hundred eighteen thousand, one hundred seventeen".