34353411435343 has 32 divisors (see below), whose sum is σ = 46126131674112. Its totient is φ = 24709065292800.

The previous prime is 34353411435221. The next prime is 34353411435443.

34353411435343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34353411435343 - 2⁹ = 34353411434831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34353411435293 and 34353411435302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34353411435443) 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, 37366623 + ... + 38274943.

It is an arithmetic number, because the mean of its divisors is an integer number (1441441614816).

Almost surely, 2^{34353411435343} is an apocalyptic number.

34353411435343 is a deficient number, since it is larger than the sum of its proper divisors (11772720238769).

34353411435343 is a wasteful number, since it uses less digits than its factorization.

34353411435343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946135.

The product of its digits is 4665600, while the sum is 46.

The spelling of 34353411435343 in words is "thirty-four trillion, three hundred fifty-three billion, four hundred eleven million, four hundred thirty-five thousand, three hundred forty-three".