34164013117 has 8 divisors (see below), whose sum is σ = 37129557080. Its totient is φ = 31246689600.

The previous prime is 34164013097. The next prime is 34164013123. The reversal of 34164013117 is 71131046143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12357879556 + 21806133561 = 111166^2 + 147669^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34164013117 - 2⁷ = 34164012989 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 (34164013517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12053634 + ... + 12056467.

It is an arithmetic number, because the mean of its divisors is an integer number (4641194635).

Almost surely, 2^34164013117 is an apocalyptic number.

It is an amenable number.

34164013117 is a deficient number, since it is larger than the sum of its proper divisors (2965543963).

34164013117 is a wasteful number, since it uses less digits than its factorization.

34164013117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24110223.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 34164013117 in words is "thirty-four billion, one hundred sixty-four million, thirteen thousand, one hundred seventeen".