381288 has 16 divisors (see below), whose sum is σ = 953280. Its totient is φ = 127088.

The previous prime is 381287. The next prime is 381289. The reversal of 381288 is 882183.

It is an interprime number because it is at equal distance from previous prime (381287) and next prime (381289).

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 (381287) 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, 7920 + ... + 7967.

It is an arithmetic number, because the mean of its divisors is an integer number (59580).

2³⁸¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

381288 is an abundant number, since it is smaller than the sum of its proper divisors (571992).

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

381288 is a wasteful number, since it uses less digits than its factorization.

381288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15896 (or 15892 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 381288 is about 617.4852224952. The cubic root of 381288 is about 72.5133071095.

It can be divided in two parts, 38 and 1288, that added together give a triangular number (1326 = T₅₁).

The spelling of 381288 in words is "three hundred eighty-one thousand, two hundred eighty-eight".