344109920 has 384 divisors, whose sum is σ = 1128701952. Its totient is φ = 95846400.

The previous prime is 344109907. The next prime is 344109943. The reversal of 344109920 is 29901443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6492614 + ... + 6492666.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328).

Almost surely, 2^344109920 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 344109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564350976).

344109920 is an abundant number, since it is smaller than the sum of its proper divisors (784592032).

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

344109920 is a wasteful number, since it uses less digits than its factorization.

344109920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 344109920 is about 18550.1999989218. The cubic root of 344109920 is about 700.7542346559.

The spelling of 344109920 in words is "three hundred forty-four million, one hundred nine thousand, nine hundred twenty".