344224400 has 120 divisors (see below), whose sum is σ = 908145000. Its totient is φ = 124600320.

The previous prime is 344224399. The next prime is 344224411. The reversal of 344224400 is 4422443.

It can be written as a sum of positive squares in 12 ways, for example, as 129777664 + 214446736 = 11392^2 + 14644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274976 + ... + 276224.

It is an arithmetic number, because the mean of its divisors is an integer number (7567875).

Almost surely, 2^344224400 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 344224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454072500).

344224400 is an abundant number, since it is smaller than the sum of its proper divisors (563920600).

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

344224400 is a wasteful number, since it uses less digits than its factorization.

344224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 344224400 is about 18553.2854233421. The cubic root of 344224400 is about 700.8319360390.

Adding to 344224400 its reverse (4422443), we get a palindrome (348646843).

The spelling of 344224400 in words is "three hundred forty-four million, two hundred twenty-four thousand, four hundred".