34302211220343 has 128 divisors (see below), whose sum is σ = 55367800750080. Its totient is φ = 18662684705280.

The previous prime is 34302211220339. The next prime is 34302211220371.

It is a happy number.

34302211220343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34302211220343 - 2² = 34302211220339 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34302211220343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34302211220323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 865694830 + ... + 865734452.

It is an arithmetic number, because the mean of its divisors is an integer number (432560943360).

Almost surely, 2^{34302211220343} is an apocalyptic number.

34302211220343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34302211220343 is a deficient number, since it is larger than the sum of its proper divisors (21065589529737).

34302211220343 is a wasteful number, since it uses less digits than its factorization.

34302211220343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40789.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3430221 and 1220343, that added together give a palindrome (4650564).

The spelling of 34302211220343 in words is "thirty-four trillion, three hundred two billion, two hundred eleven million, two hundred twenty thousand, three hundred forty-three".