344022010112 has 72 divisors (see below), whose sum is σ = 749820812832. Its totient is φ = 156228915200.

The previous prime is 344022010043. The next prime is 344022010147. The reversal of 344022010112 is 211010220443.

It is a super-2 number, since 2×344022010112² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3016268 + ... + 3128244.

It is an arithmetic number, because the mean of its divisors is an integer number (10414177956).

Almost surely, 2^344022010112 is an apocalyptic number.

344022010112 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 344022010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374910406416).

344022010112 is an abundant number, since it is smaller than the sum of its proper divisors (405798802720).

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

344022010112 is a wasteful number, since it uses less digits than its factorization.

344022010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113095 (or 113081 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 344022010112 its reverse (211010220443), we get a palindrome (555032230555).

The spelling of 344022010112 in words is "three hundred forty-four billion, twenty-two million, ten thousand, one hundred twelve".