34013510417 has 16 divisors (see below), whose sum is σ = 36758126592. Its totient is φ = 31393879440.

The previous prime is 34013510347. The next prime is 34013510423. The reversal of 34013510417 is 71401531043.

It is not a de Polignac number, because 34013510417 - 2²² = 34009316113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34013510417.

It is not an unprimeable number, because it can be changed into a prime (34013510017) 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, 144833 + ... + 298334.

It is an arithmetic number, because the mean of its divisors is an integer number (2297382912).

Almost surely, 2^34013510417 is an apocalyptic number.

It is an amenable number.

34013510417 is a deficient number, since it is larger than the sum of its proper divisors (2744616175).

34013510417 is a wasteful number, since it uses less digits than its factorization.

34013510417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443308.

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 34013510417 in words is "thirty-four billion, thirteen million, five hundred ten thousand, four hundred seventeen".