34355344355343 has 64 divisors (see below), whose sum is σ = 55691192256000. Its totient is φ = 20758662478080.

The previous prime is 34355344355317. The next prime is 34355344355399.

34355344355343 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 5 + 3 + 4 + 43 + 553 + 43 = 666.

34355344355343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34355344355343 - 2⁹ = 34355344354831 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34355344355343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34355344355543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828477696 + ... + 828519162.

It is an arithmetic number, because the mean of its divisors is an integer number (870174879000).

Almost surely, 2^{34355344355343} is an apocalyptic number.

34355344355343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34355344355343 is a deficient number, since it is larger than the sum of its proper divisors (21335847900657).

34355344355343 is a wasteful number, since it uses less digits than its factorization.

34355344355343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49829 (or 49823 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 54.

The spelling of 34355344355343 in words is "thirty-four trillion, three hundred fifty-five billion, three hundred forty-four million, three hundred fifty-five thousand, three hundred forty-three".