344385 has 16 divisors (see below), whose sum is σ = 612480. Its totient is φ = 183600.

The previous prime is 344371. The next prime is 344417. The reversal of 344385 is 583443.

It is a happy number.

It is not a de Polignac number, because 344385 - 2⁵ = 344353 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3 + 4⁶ + 3² + 4⁹ + 8 + 5⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (38280).

2³⁴⁴³⁸⁵ is an apocalyptic number.

It is an amenable number.

344385 is a deficient number, since it is larger than the sum of its proper divisors (268095).

344385 is a wasteful number, since it uses less digits than its factorization.

344385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2559 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 344385 is about 586.8432499399. The cubic root of 344385 is about 70.0940911569.

It can be divided in two parts, 34438 and 5, that added together give a palindrome (34443).

The spelling of 344385 in words is "three hundred forty-four thousand, three hundred eighty-five".