34344455444343 has 32 divisors (see below), whose sum is σ = 55525661011200. Its totient is φ = 20807520084000.

The previous prime is 34344455444329. The next prime is 34344455444501.

34344455444343 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 4 + 4 + 554 + 4 + 43 + 43 = 666.

34344455444343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34344455444343 - 2⁵ = 34344455444311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34344455444343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344455444843) 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, 19433488 + ... + 21126981.

It is an arithmetic number, because the mean of its divisors is an integer number (1735176906600).

Almost surely, 2^{34344455444343} is an apocalyptic number.

34344455444343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34344455444343 is a deficient number, since it is larger than the sum of its proper divisors (21181205566857).

34344455444343 is a wasteful number, since it uses less digits than its factorization.

34344455444343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40563340 (or 40563334 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

It can be divided in two parts, 3434445 and 5444343, that added together give a palindrome (8878788).

The spelling of 34344455444343 in words is "thirty-four trillion, three hundred forty-four billion, four hundred fifty-five million, four hundred forty-four thousand, three hundred forty-three".