344975904 has 144 divisors (see below), whose sum is σ = 1207507392. Its totient is φ = 90975744.

The previous prime is 344975893. The next prime is 344975933. The reversal of 344975904 is 409579443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 344975904.

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 23 ways as a sum of consecutive naturals, for example, 19627 + ... + 32789.

It is an arithmetic number, because the mean of its divisors is an integer number (8385468).

Almost surely, 2^344975904 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 344975904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603753696).

344975904 is an abundant number, since it is smaller than the sum of its proper divisors (862531488).

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

344975904 is a wasteful number, since it uses less digits than its factorization.

344975904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13199 (or 13188 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 344975904 is about 18573.5269671649. The cubic root of 344975904 is about 701.3415795445.

It can be divided in two parts, 34497 and 5904, that added together give a square (40401 = 201²).

The spelling of 344975904 in words is "three hundred forty-four million, nine hundred seventy-five thousand, nine hundred four".