344200000 has 84 divisors (see below), whose sum is σ = 854218764. Its totient is φ = 137600000.

The previous prime is 344199997. The next prime is 344200007. The reversal of 344200000 is 2443.

It can be written as a sum of positive squares in 6 ways, for example, as 248629824 + 95570176 = 15768^2 + 9776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344200007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199140 + ... + 200860.

It is an arithmetic number, because the mean of its divisors is an integer number (10169271).

Almost surely, 2^344200000 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 344200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427109382).

344200000 is an abundant number, since it is smaller than the sum of its proper divisors (510018764).

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

344200000 is an frugal number, since it uses more digits than its factorization.

344200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 344200000 is about 18552.6278462109. The cubic root of 344200000 is about 700.8153763923.

Adding to 344200000 its reverse (2443), we get a palindrome (344202443).

The spelling of 344200000 in words is "three hundred forty-four million, two hundred thousand".