344119104 has 336 divisors, whose sum is σ = 1220419200. Its totient is φ = 94058496.

The previous prime is 344119001. The next prime is 344119141. The reversal of 344119104 is 401911443.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 3157002 + ... + 3157110.

It is an arithmetic number, because the mean of its divisors is an integer number (3632200).

Almost surely, 2^344119104 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 344119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610209600).

344119104 is an abundant number, since it is smaller than the sum of its proper divisors (876300096).

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

344119104 is a wasteful number, since it uses less digits than its factorization.

344119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 344119104 is about 18550.4475417711. The cubic root of 344119104 is about 700.7604687778.

The spelling of 344119104 in words is "three hundred forty-four million, one hundred nineteen thousand, one hundred four".