34007040677 has 2 divisors, whose sum is σ = 34007040678. Its totient is φ = 34007040676.

The previous prime is 34007040671. The next prime is 34007040713. The reversal of 34007040677 is 77604070043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19607280676 + 14399760001 = 140026^2 + 119999^2 .

It is an emirp because it is prime and its reverse (77604070043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34007040677 - 2¹⁰ = 34007039653 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34007040677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34007040671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17003520338 + 17003520339.

It is an arithmetic number, because the mean of its divisors is an integer number (17003520339).

Almost surely, 2^34007040677 is an apocalyptic number.

It is an amenable number.

34007040677 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007040677 is an equidigital number, since it uses as much as digits as its factorization.

34007040677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98784, while the sum is 38.

The spelling of 34007040677 in words is "thirty-four billion, seven million, forty thousand, six hundred seventy-seven".