34113736777 has 2 divisors, whose sum is σ = 34113736778. Its totient is φ = 34113736776.

The previous prime is 34113736759. The next prime is 34113736823. The reversal of 34113736777 is 77763731143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34036929081 + 76807696 = 184491^2 + 8764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34113736777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34113736777.

It is not a weakly prime, because it can be changed into another prime (34113736177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17056868388 + 17056868389.

It is an arithmetic number, because the mean of its divisors is an integer number (17056868389).

Almost surely, 2^34113736777 is an apocalyptic number.

It is an amenable number.

34113736777 is a deficient number, since it is larger than the sum of its proper divisors (1).

34113736777 is an equidigital number, since it uses as much as digits as its factorization.

34113736777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1555848, while the sum is 49.

The spelling of 34113736777 in words is "thirty-four billion, one hundred thirteen million, seven hundred thirty-six thousand, seven hundred seventy-seven".