34023120323322 has 128 divisors (see below), whose sum is σ = 76601123020800. Its totient is φ = 9995904382464.

The previous prime is 34023120323317. The next prime is 34023120323333. The reversal of 34023120323322 is 22332302132043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34023120323322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2550643329 + ... + 2550656667.

It is an arithmetic number, because the mean of its divisors is an integer number (598446273600).

Almost surely, 2^{34023120323322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34023120323322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38300561510400).

34023120323322 is an abundant number, since it is smaller than the sum of its proper divisors (42578002697478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34023120323322 is a wasteful number, since it uses less digits than its factorization.

34023120323322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 34023120323322 its reverse (22332302132043), we get a palindrome (56355422455365).

The spelling of 34023120323322 in words is "thirty-four trillion, twenty-three billion, one hundred twenty million, three hundred twenty-three thousand, three hundred twenty-two".