34004058577 has 2 divisors, whose sum is σ = 34004058578. Its totient is φ = 34004058576.

The previous prime is 34004058541. The next prime is 34004058581. The reversal of 34004058577 is 77585040043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19411176976 + 14592881601 = 139324^2 + 120801^2 .

It is a cyclic number.

It is not a de Polignac number, because 34004058577 - 2¹⁹ = 34003534289 is a prime.

It is not a weakly prime, because it can be changed into another prime (34004058527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17002029288 + 17002029289.

It is an arithmetic number, because the mean of its divisors is an integer number (17002029289).

Almost surely, 2^34004058577 is an apocalyptic number.

It is an amenable number.

34004058577 is a deficient number, since it is larger than the sum of its proper divisors (1).

34004058577 is an equidigital number, since it uses as much as digits as its factorization.

34004058577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 34004058577 in words is "thirty-four billion, four million, fifty-eight thousand, five hundred seventy-seven".