344826628443 has 32 divisors (see below), whose sum is σ = 557328453120. Its totient is φ = 208973501280.

The previous prime is 344826628441. The next prime is 344826628477.

344826628443 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 2 + 6 + 628 + 4 + 4 + 3 = 666.

344826628443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344826628443 - 2¹ = 344826628441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344826628443.

It is not an unprimeable number, because it can be changed into a prime (344826628441) 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, 9092146 + ... + 9129992.

It is an arithmetic number, because the mean of its divisors is an integer number (17416514160).

Almost surely, 2^344826628443 is an apocalyptic number.

344826628443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344826628443 is a deficient number, since it is larger than the sum of its proper divisors (212501824677).

344826628443 is a wasteful number, since it uses less digits than its factorization.

344826628443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68544 (or 68538 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 344826628443 in words is "three hundred forty-four billion, eight hundred twenty-six million, six hundred twenty-eight thousand, four hundred forty-three".