344100322120 has 128 divisors (see below), whose sum is σ = 788963328000. Its totient is φ = 135045630720.

The previous prime is 344100322099. The next prime is 344100322141. The reversal of 344100322120 is 21223001443.

It is an interprime number because it is at equal distance from previous prime (344100322099) and next prime (344100322141).

It is a super-2 number, since 2×344100322120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344100322091 and 344100322100.

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 31 ways as a sum of consecutive naturals, for example, 700815075 + ... + 700815565.

It is an arithmetic number, because the mean of its divisors is an integer number (6163776000).

Almost surely, 2^344100322120 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 344100322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394481664000).

344100322120 is an abundant number, since it is smaller than the sum of its proper divisors (444863005880).

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

344100322120 is a wasteful number, since it uses less digits than its factorization.

344100322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 344100322120 its reverse (21223001443), we get a palindrome (365323323563).

The spelling of 344100322120 in words is "three hundred forty-four billion, one hundred million, three hundred twenty-two thousand, one hundred twenty".