34043460417 has 6 divisors (see below), whose sum is σ = 49173887282. Its totient is φ = 22695640272.

The previous prime is 34043460413. The next prime is 34043460421. The reversal of 34043460417 is 71406434043.

34043460417 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 34 + 604 + 17 = 666.

It is an interprime number because it is at equal distance from previous prime (34043460413) and next prime (34043460421).

It can be written as a sum of positive squares in only one way, i.e., 28957488561 + 5085971856 = 170169^2 + 71316^2 .

It is not a de Polignac number, because 34043460417 - 2² = 34043460413 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34043460413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1891303348 + ... + 1891303365.

Almost surely, 2^34043460417 is an apocalyptic number.

It is an amenable number.

34043460417 is a deficient number, since it is larger than the sum of its proper divisors (15130426865).

34043460417 is a wasteful number, since it uses less digits than its factorization.

34043460417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782606719 (or 3782606716 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 34043460417 in words is "thirty-four billion, forty-three million, four hundred sixty thousand, four hundred seventeen".