344400200 has 48 divisors (see below), whose sum is σ = 810416880. Its totient is φ = 136093760.

The previous prime is 344400191. The next prime is 344400211. The reversal of 344400200 is 2004443.

It is a super-2 number, since 2×344400200² = 237222995520080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6227 + ... + 26973.

It is an arithmetic number, because the mean of its divisors is an integer number (16883685).

Almost surely, 2^344400200 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 344400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405208440).

344400200 is an abundant number, since it is smaller than the sum of its proper divisors (466016680).

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

344400200 is a wasteful number, since it uses less digits than its factorization.

344400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20846 (or 20837 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 344400200 is about 18558.0225239652. The cubic root of 344400200 is about 700.9512238117.

Adding to 344400200 its reverse (2004443), we get a palindrome (346404643).

The spelling of 344400200 in words is "three hundred forty-four million, four hundred thousand, two hundred".