34345200254343 has 32 divisors (see below), whose sum is σ = 50052758326272. Its totient is φ = 20775253401600.

The previous prime is 34345200254311. The next prime is 34345200254353.

34345200254343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34345200254343 - 2⁵ = 34345200254311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34345200254295 and 34345200254304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345200254353) 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, 58236955 + ... + 58823747.

It is an arithmetic number, because the mean of its divisors is an integer number (1564148697696).

Almost surely, 2^{34345200254343} is an apocalyptic number.

34345200254343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34345200254343 is a deficient number, since it is larger than the sum of its proper divisors (15707558071929).

34345200254343 is a wasteful number, since it uses less digits than its factorization.

34345200254343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590215.

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 34345200 and 254343, that added together give a palindrome (34599543).

The spelling of 34345200254343 in words is "thirty-four trillion, three hundred forty-five billion, two hundred million, two hundred fifty-four thousand, three hundred forty-three".