34627622672643 has 32 divisors (see below), whose sum is σ = 61990709125632. Its totient is φ = 16604654227200.

The previous prime is 34627622672639. The next prime is 34627622672689.

34627622672643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34627622672643 - 2² = 34627622672639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34627622672623) 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, 5765501938 + ... + 5765507943.

It is an arithmetic number, because the mean of its divisors is an integer number (1937209660176).

Almost surely, 2^{34627622672643} is an apocalyptic number.

34627622672643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34627622672643 is a deficient number, since it is larger than the sum of its proper divisors (27363086452989).

34627622672643 is a wasteful number, since it uses less digits than its factorization.

34627622672643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531009915.

The product of its digits is 146313216, while the sum is 60.

The spelling of 34627622672643 in words is "thirty-four trillion, six hundred twenty-seven billion, six hundred twenty-two million, six hundred seventy-two thousand, six hundred forty-three".