34044777617 has 2 divisors, whose sum is σ = 34044777618. Its totient is φ = 34044777616.

The previous prime is 34044777593. The next prime is 34044777653. The reversal of 34044777617 is 71677744043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33036334081 + 1008443536 = 181759^2 + 31756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34044777617 is a prime.

It is not a weakly prime, because it can be changed into another prime (34044771617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17022388808 + 17022388809.

It is an arithmetic number, because the mean of its divisors is an integer number (17022388809).

Almost surely, 2^34044777617 is an apocalyptic number.

It is an amenable number.

34044777617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34044777617 is an equidigital number, since it uses as much as digits as its factorization.

34044777617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2765952, while the sum is 50.

The spelling of 34044777617 in words is "thirty-four billion, forty-four million, seven hundred seventy-seven thousand, six hundred seventeen".