344225000 has 144 divisors (see below), whose sum is σ = 941775660. Its totient is φ = 117600000.

The previous prime is 344224973. The next prime is 344225009. The reversal of 344225000 is 522443.

It can be written as a sum of positive squares in 6 ways, for example, as 23600164 + 320624836 = 4858^2 + 17906^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344225009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1224860 + ... + 1225140.

Almost surely, 2^344225000 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 344225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470887830).

344225000 is an abundant number, since it is smaller than the sum of its proper divisors (597550660).

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

344225000 is an equidigital number, since it uses as much as digits as its factorization.

344225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 344225000 is about 18553.3015929780. The cubic root of 344225000 is about 700.8323432335.

Adding to 344225000 its reverse (522443), we get a palindrome (344747443).

The spelling of 344225000 in words is "three hundred forty-four million, two hundred twenty-five thousand".