34676666667643 has 32 divisors (see below), whose sum is σ = 47019860278272. Its totient is φ = 24695304624000.

The previous prime is 34676666667637. The next prime is 34676666667679.

34676666667643 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34676666667643 - 2²⁵ = 34676633113211 is a prime.

It is a super-2 number, since 2×34676666667643² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34676666667643.

It is not an unprimeable number, because it can be changed into a prime (34676666667343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171394071 + ... + 171596272.

It is an arithmetic number, because the mean of its divisors is an integer number (1469370633696).

Almost surely, 2^{34676666667643} is an apocalyptic number.

34676666667643 is a deficient number, since it is larger than the sum of its proper divisors (12343193610629).

34676666667643 is a wasteful number, since it uses less digits than its factorization.

34676666667643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342990475.

The product of its digits is 11851370496, while the sum is 76.

The spelling of 34676666667643 in words is "thirty-four trillion, six hundred seventy-six billion, six hundred sixty-six million, six hundred sixty-seven thousand, six hundred forty-three".