381744 has 60 divisors (see below), whose sum is σ = 1170312. Its totient is φ = 115200.

The previous prime is 381739. The next prime is 381749. The reversal of 381744 is 447183.

381744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381739) and next prime (381749).

It is not an unprimeable number, because it can be changed into a prime (381749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1464 + ... + 1704.

2³⁸¹⁷⁴⁴ 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 381744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585156).

381744 is an abundant number, since it is smaller than the sum of its proper divisors (788568).

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

381744 is a wasteful number, since it uses less digits than its factorization.

381744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 381744 is about 617.8543517691. The cubic root of 381744 is about 72.5422029354.

The spelling of 381744 in words is "three hundred eighty-one thousand, seven hundred forty-four".