34004411117 has 2 divisors, whose sum is σ = 34004411118. Its totient is φ = 34004411116.

The previous prime is 34004411053. The next prime is 34004411141. The reversal of 34004411117 is 71111440043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27170247556 + 6834163561 = 164834^2 + 82669^2 .

It is a cyclic number.

It is not a de Polignac number, because 34004411117 - 2⁶ = 34004411053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34000411117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17002205558 + 17002205559.

It is an arithmetic number, because the mean of its divisors is an integer number (17002205559).

Almost surely, 2^34004411117 is an apocalyptic number.

It is an amenable number.

34004411117 is a deficient number, since it is larger than the sum of its proper divisors (1).

34004411117 is an equidigital number, since it uses as much as digits as its factorization.

34004411117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 34004411117 in words is "thirty-four billion, four million, four hundred eleven thousand, one hundred seventeen".