34442600624443 has 8 divisors (see below), whose sum is σ = 37576302523200. Its totient is φ = 31309324790280.

The previous prime is 34442600624437. The next prime is 34442600624507.

34442600624443 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34442600624443 - 2²¹ = 34442598527291 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34442600624393 and 34442600624402.

It is not an unprimeable number, because it can be changed into a prime (34442600624143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106347105 + ... + 106670482.

It is an arithmetic number, because the mean of its divisors is an integer number (4697037815400).

Almost surely, 2^{34442600624443} is an apocalyptic number.

34442600624443 is a deficient number, since it is larger than the sum of its proper divisors (3133701898757).

34442600624443 is a wasteful number, since it uses less digits than its factorization.

34442600624443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213032297.

The product of its (nonzero) digits is 5308416, while the sum is 46.

The spelling of 34442600624443 in words is "thirty-four trillion, four hundred forty-two billion, six hundred million, six hundred twenty-four thousand, four hundred forty-three".