34354322345343 has 64 divisors (see below), whose sum is σ = 62009721252864. Its totient is φ = 16473600950400.

The previous prime is 34354322345311. The next prime is 34354322345353.

It is a happy number.

34354322345343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34354322345343 - 2⁵ = 34354322345311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34354322345292 and 34354322345301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354322345353) 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, 46909368 + ... + 47636093.

It is an arithmetic number, because the mean of its divisors is an integer number (968901894576).

Almost surely, 2^{34354322345343} is an apocalyptic number.

34354322345343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34354322345343 is a deficient number, since it is larger than the sum of its proper divisors (27655398907521).

34354322345343 is a wasteful number, since it uses less digits than its factorization.

34354322345343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94545517 (or 94545495 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 48.

The spelling of 34354322345343 in words is "thirty-four trillion, three hundred fifty-four billion, three hundred twenty-two million, three hundred forty-five thousand, three hundred forty-three".