34709376761 has 2 divisors, whose sum is σ = 34709376762. Its totient is φ = 34709376760.

The previous prime is 34709376749. The next prime is 34709376809. The reversal of 34709376761 is 16767390743.

34709376761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32407200400 + 2302176361 = 180020^2 + 47981^2 .

It is a cyclic number.

It is not a de Polignac number, because 34709376761 - 2¹⁸ = 34709114617 is a prime.

It is a super-2 number, since 2×34709376761² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34709376161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17354688380 + 17354688381.

It is an arithmetic number, because the mean of its divisors is an integer number (17354688381).

Almost surely, 2^34709376761 is an apocalyptic number.

It is an amenable number.

34709376761 is a deficient number, since it is larger than the sum of its proper divisors (1).

34709376761 is an equidigital number, since it uses as much as digits as its factorization.

34709376761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4000752, while the sum is 53.

The spelling of 34709376761 in words is "thirty-four billion, seven hundred nine million, three hundred seventy-six thousand, seven hundred sixty-one".