344334433443 has 128 divisors (see below), whose sum is σ = 635177969664. Its totient is φ = 160123392000.

The previous prime is 344334433411. The next prime is 344334433451.

344334433443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344334433443 - 2⁵ = 344334433411 is a prime.

344334433443 is a modest number, since divided by 34433443 gives 3443 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 344334433395 and 344334433404.

It is not an unprimeable number, because it can be changed into a prime (344334435443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34772793 + ... + 34782693.

It is an arithmetic number, because the mean of its divisors is an integer number (4962327888).

Almost surely, 2^344334433443 is an apocalyptic number.

344334433443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344334433443 is a deficient number, since it is larger than the sum of its proper divisors (290843536221).

344334433443 is a wasteful number, since it uses less digits than its factorization.

344334433443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285.

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 344334 and 433443, that added together give a palindrome (777777).

The spelling of 344334433443 in words is "three hundred forty-four billion, three hundred thirty-four million, four hundred thirty-three thousand, four hundred forty-three".