34346255264343 has 32 divisors (see below), whose sum is σ = 55510861939200. Its totient is φ = 20815251336000.

The previous prime is 34346255264333. The next prime is 34346255264389.

It is a happy number.

34346255264343 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 6 + 2 + 552 + 6 + 43 + 43 = 666.

34346255264343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34346255264343 - 2¹⁰ = 34346255263319 is a prime.

It is a super-3 number, since 3×34346255264343³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34346255264343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34346255264333) 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, 7615318 + ... + 11255468.

It is an arithmetic number, because the mean of its divisors is an integer number (1734714435600).

Almost surely, 2^{34346255264343} is an apocalyptic number.

34346255264343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34346255264343 is a deficient number, since it is larger than the sum of its proper divisors (21164606674857).

34346255264343 is a wasteful number, since it uses less digits than its factorization.

34346255264343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671940 (or 3671934 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

It can be divided in two parts, 3434625 and 5264343, that added together give a palindrome (8698968).

The spelling of 34346255264343 in words is "thirty-four trillion, three hundred forty-six billion, two hundred fifty-five million, two hundred sixty-four thousand, three hundred forty-three".