34915765149309 has 32 divisors (see below), whose sum is σ = 51182163648000. Its totient is φ = 20996417972160.

The previous prime is 34915765149289. The next prime is 34915765149319. The reversal of 34915765149309 is 90394156751943.

It is not a de Polignac number, because 34915765149309 - 2⁵ = 34915765149277 is a prime.

It is a super-2 number, since 2×34915765149309² (a number of 28 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 34915765149309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34915765149319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5517742 + ... + 10013840.

It is an arithmetic number, because the mean of its divisors is an integer number (1599442614000).

Almost surely, 2^{34915765149309} is an apocalyptic number.

It is an amenable number.

34915765149309 is a deficient number, since it is larger than the sum of its proper divisors (16266398498691).

34915765149309 is a wasteful number, since it uses less digits than its factorization.

34915765149309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497945.

The product of its (nonzero) digits is 110224800, while the sum is 66.

The spelling of 34915765149309 in words is "thirty-four trillion, nine hundred fifteen billion, seven hundred sixty-five million, one hundred forty-nine thousand, three hundred nine".