34422230323314 has 128 divisors (see below), whose sum is σ = 85283767296000. Its totient is φ = 10227459458304.

The previous prime is 34422230323303. The next prime is 34422230323343. The reversal of 34422230323314 is 41332303222443.

34422230323314 is a `hidden beast` number, since 3 + 44 + 22 + 230 + 32 + 331 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54085227 + ... + 54717969.

It is an arithmetic number, because the mean of its divisors is an integer number (666279432000).

Almost surely, 2^{34422230323314} is an apocalyptic number.

34422230323314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34422230323314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42641883648000).

34422230323314 is an abundant number, since it is smaller than the sum of its proper divisors (50861536972686).

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

34422230323314 is a wasteful number, since it uses less digits than its factorization.

34422230323314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635909 (or 635903 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34422230323314 its reverse (41332303222443), we get a palindrome (75754533545757).

The spelling of 34422230323314 in words is "thirty-four trillion, four hundred twenty-two billion, two hundred thirty million, three hundred twenty-three thousand, three hundred fourteen".