34432322112312 has 128 divisors (see below), whose sum is σ = 91101565624320. Its totient is φ = 10822251440000.

The previous prime is 34432322112283. The next prime is 34432322112493. The reversal of 34432322112312 is 21321122323443.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291960637 + ... + 292078547.

It is an arithmetic number, because the mean of its divisors is an integer number (711730981440).

Almost surely, 2^{34432322112312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34432322112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45550782812160).

34432322112312 is an abundant number, since it is smaller than the sum of its proper divisors (56669243512008).

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

34432322112312 is a wasteful number, since it uses less digits than its factorization.

34432322112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125465 (or 125461 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 34432322112312 its reverse (21321122323443), we get a palindrome (55753444435755).

The spelling of 34432322112312 in words is "thirty-four trillion, four hundred thirty-two billion, three hundred twenty-two million, one hundred twelve thousand, three hundred twelve".