381344 has 24 divisors (see below), whose sum is σ = 796068. Its totient is φ = 179200.

The previous prime is 381343. The next prime is 381347. The reversal of 381344 is 443183.

381344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 336400 + 44944 = 580^2 + 212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194 + ... + 894.

2³⁸¹³⁴⁴ is an apocalyptic number.

381344 is a gapful number since it is divisible by the number (34) 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 381344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398034).

381344 is an abundant number, since it is smaller than the sum of its proper divisors (414724).

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

381344 is a wasteful number, since it uses less digits than its factorization.

381344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 381344 is about 617.5305660451. The cubic root of 381344 is about 72.5168569602.

The spelling of 381344 in words is "three hundred eighty-one thousand, three hundred forty-four".