34460187760799 has 2 divisors, whose sum is σ = 34460187760800. Its totient is φ = 34460187760798.

The previous prime is 34460187760751. The next prime is 34460187760819. The reversal of 34460187760799 is 99706778106443.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34460187760799 - 2⁸ = 34460187760543 is a prime.

It is a super-2 number, since 2×34460187760799² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34460187720799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17230093880399 + 17230093880400.

It is an arithmetic number, because the mean of its divisors is an integer number (17230093880400).

Almost surely, 2^{34460187760799} is an apocalyptic number.

34460187760799 is a deficient number, since it is larger than the sum of its proper divisors (1).

34460187760799 is an equidigital number, since it uses as much as digits as its factorization.

34460187760799 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384072192, while the sum is 71.

The spelling of 34460187760799 in words is "thirty-four trillion, four hundred sixty billion, one hundred eighty-seven million, seven hundred sixty thousand, seven hundred ninety-nine".