344003200 has 96 divisors (see below), whose sum is σ = 855732060. Its totient is φ = 136642560.

The previous prime is 344003147. The next prime is 344003207. The reversal of 344003200 is 2300443.

It can be written as a sum of positive squares in 6 ways, for example, as 23736384 + 320266816 = 4872^2 + 17896^2 .

It is a super-2 number, since 2×344003200² = 236676403220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (344003207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617322 + ... + 617878.

Almost surely, 2^344003200 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 344003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427866030).

344003200 is an abundant number, since it is smaller than the sum of its proper divisors (511728860).

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

344003200 is a wasteful number, since it uses less digits than its factorization.

344003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 344003200 is about 18547.3232570094. The cubic root of 344003200 is about 700.6817847206.

Adding to 344003200 its reverse (2300443), we get a palindrome (346303643).

The spelling of 344003200 in words is "three hundred forty-four million, three thousand, two hundred".