344448 has 96 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 101376.

The previous prime is 344429. The next prime is 344453. The reversal of 344448 is 844443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

344448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14965 + ... + 14987.

2³⁴⁴⁴⁴⁸ 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 344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

344448 is an abundant number, since it is smaller than the sum of its proper divisors (769392).

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

344448 is a wasteful number, since it uses less digits than its factorization.

344448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 344448 is about 586.8969245106. The cubic root of 344448 is about 70.0983651124.

The spelling of 344448 in words is "three hundred forty-four thousand, four hundred forty-eight".