34768686743 has 16 divisors (see below), whose sum is σ = 40261347840. Its totient is φ = 29410023456.

The previous prime is 34768686737. The next prime is 34768686793.

34768686743 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34768686743 - 2¹² = 34768682647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768686793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55505 + ... + 269477.

It is an arithmetic number, because the mean of its divisors is an integer number (2516334240).

Almost surely, 2^34768686743 is an apocalyptic number.

34768686743 is a deficient number, since it is larger than the sum of its proper divisors (5492661097).

34768686743 is a wasteful number, since it uses less digits than its factorization.

34768686743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214286.

The product of its digits is 97542144, while the sum is 62.

The spelling of 34768686743 in words is "thirty-four billion, seven hundred sixty-eight million, six hundred eighty-six thousand, seven hundred forty-three".