34406333360443 has 48 divisors (see below), whose sum is σ = 40198339909728. Its totient is φ = 29324673100800.

The previous prime is 34406333360419. The next prime is 34406333360501.

It is a happy number.

34406333360443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34406333360443 - 2¹⁷ = 34406333229371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34406333360393 and 34406333360402.

It is not an unprimeable number, because it can be changed into a prime (34406330360443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654447348 + ... + 654499918.

It is an arithmetic number, because the mean of its divisors is an integer number (837465414786).

Almost surely, 2^{34406333360443} is an apocalyptic number.

34406333360443 is a deficient number, since it is larger than the sum of its proper divisors (5792006549285).

34406333360443 is a wasteful number, since it uses less digits than its factorization.

34406333360443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53836 (or 53825 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 46.

The spelling of 34406333360443 in words is "thirty-four trillion, four hundred six billion, three hundred thirty-three million, three hundred sixty thousand, four hundred forty-three".