34680007711593 has 20 divisors (see below), whose sum is σ = 51806562095508. Its totient is φ = 23119726371840.

The previous prime is 34680007711537. The next prime is 34680007711627. The reversal of 34680007711593 is 39511770008643.

34680007711593 is a `hidden beast` number, since 3 + 46 + 8 + 0 + 0 + 0 + 7 + 7 + 1 + 1 + 593 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27317316200409 + 7362691511184 = 5226597^2 + 2713428^2 .

It is not a de Polignac number, because 34680007711593 - 2⁸ = 34680007711337 is a prime.

It is a super-2 number, since 2×34680007711593² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34680007751593) 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 in 19 ways as a sum of consecutive naturals, for example, 4290313 + ... + 9368393.

Almost surely, 2^{34680007711593} is an apocalyptic number.

It is an amenable number.

34680007711593 is a deficient number, since it is larger than the sum of its proper divisors (17126554383915).

34680007711593 is an equidigital number, since it uses as much as digits as its factorization.

34680007711593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162406 (or 5162397 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 34680007711593 in words is "thirty-four trillion, six hundred eighty billion, seven million, seven hundred eleven thousand, five hundred ninety-three".