344112420 has 72 divisors (see below), whose sum is σ = 1016959104. Its totient is φ = 86928192.

The previous prime is 344112409. The next prime is 344112473. The reversal of 344112420 is 24211443.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13717 + ... + 29603.

It is an arithmetic number, because the mean of its divisors is an integer number (14124432).

Almost surely, 2^344112420 is an apocalyptic number.

344112420 is a gapful number since it is divisible by the number (30) 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 344112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508479552).

344112420 is an abundant number, since it is smaller than the sum of its proper divisors (672846684).

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

344112420 is a wasteful number, since it uses less digits than its factorization.

344112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15937 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 344112420 is about 18550.2673835177. The cubic root of 344112420 is about 700.7559316730.

Adding to 344112420 its reverse (24211443), we get a palindrome (368323863).

The spelling of 344112420 in words is "three hundred forty-four million, one hundred twelve thousand, four hundred twenty".