344224440 has 192 divisors, whose sum is σ = 1334361600. Its totient is φ = 75246336.

The previous prime is 344224427. The next prime is 344224451. The reversal of 344224440 is 44422443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54991 + ... + 60929.

It is an arithmetic number, because the mean of its divisors is an integer number (6949800).

Almost surely, 2^344224440 is an apocalyptic number.

344224440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667180800).

344224440 is an abundant number, since it is smaller than the sum of its proper divisors (990137160).

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

344224440 is a wasteful number, since it uses less digits than its factorization.

344224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 344224440 is about 18553.2865013183. The cubic root of 344224440 is about 700.8319631853.

Adding to 344224440 its reverse (44422443), we get a palindrome (388646883).

The spelling of 344224440 in words is "three hundred forty-four million, two hundred twenty-four thousand, four hundred forty".