34022431422112 has 96 divisors (see below), whose sum is σ = 77355676823040. Its totient is φ = 14428025856000.

The previous prime is 34022431422029. The next prime is 34022431422113. The reversal of 34022431422112 is 21122413422043.

It is not an unprimeable number, because it can be changed into a prime (34022431422113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17408688 + ... + 19264144.

It is an arithmetic number, because the mean of its divisors is an integer number (805788300240).

Almost surely, 2^{34022431422112} is an apocalyptic number.

34022431422112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022431422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38677838411520).

34022431422112 is an abundant number, since it is smaller than the sum of its proper divisors (43333245400928).

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

34022431422112 is a wasteful number, since it uses less digits than its factorization.

34022431422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856334 (or 1856326 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 34022431422112 its reverse (21122413422043), we get a palindrome (55144844844155).

The spelling of 34022431422112 in words is "thirty-four trillion, twenty-two billion, four hundred thirty-one million, four hundred twenty-two thousand, one hundred twelve".