381384 has 24 divisors (see below), whose sum is σ = 1033110. Its totient is φ = 127104.

The previous prime is 381383. The next prime is 381389. The reversal of 381384 is 483183.

It can be written as a sum of positive squares in only one way, i.e., 272484 + 108900 = 522^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (381383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2577 + ... + 2720.

2³⁸¹³⁸⁴ is an apocalyptic number.

It is an amenable number.

381384 is an abundant number, since it is smaller than the sum of its proper divisors (651726).

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

381384 is a wasteful number, since it uses less digits than its factorization.

381384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5302 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 381384 is about 617.5629522567. The cubic root of 381384 is about 72.5193923551.

The spelling of 381384 in words is "three hundred eighty-one thousand, three hundred eighty-four".