385344 has 56 divisors (see below), whose sum is σ = 1137920. Its totient is φ = 127872.

The previous prime is 385331. The next prime is 385351. The reversal of 385344 is 443583.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

385344 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1617 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (20320).

2³⁸⁵³⁴⁴ 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 385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568960).

385344 is an abundant number, since it is smaller than the sum of its proper divisors (752576).

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

385344 is a wasteful number, since it uses less digits than its factorization.

385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

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

The square root of 385344 is about 620.7608235061. The cubic root of 385344 is about 72.7695239341.

It can be divided in two parts, 385 and 344, that added together give a 6-th power (729 = 3⁶).

The spelling of 385344 in words is "three hundred eighty-five thousand, three hundred forty-four".