344443440 has 240 divisors, whose sum is σ = 1217109600. Its totient is φ = 80424960.

The previous prime is 344443391. The next prime is 344443447. The reversal of 344443440 is 44344443.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344443398 and 344443407.

It is not an unprimeable number, because it can be changed into a prime (344443447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841956 + ... + 842364.

It is an arithmetic number, because the mean of its divisors is an integer number (5071290).

Almost surely, 2^344443440 is an apocalyptic number.

344443440 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 344443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608554800).

344443440 is an abundant number, since it is smaller than the sum of its proper divisors (872666160).

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

344443440 is a wasteful number, since it uses less digits than its factorization.

344443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 344443440 is about 18559.1874822148. The cubic root of 344443440 is about 700.9805577692.

Adding to 344443440 its reverse (44344443), we get a palindrome (388787883).

The spelling of 344443440 in words is "three hundred forty-four million, four hundred forty-three thousand, four hundred forty".