381888 has 112 divisors (see below), whose sum is σ = 1280160. Its totient is φ = 110592.

The previous prime is 381859. The next prime is 381911. The reversal of 381888 is 888183.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

381888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22456 + ... + 22472.

It is an arithmetic number, because the mean of its divisors is an integer number (11430).

2³⁸¹⁸⁸⁸ 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 381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080).

381888 is an abundant number, since it is smaller than the sum of its proper divisors (898272).

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

381888 is a wasteful number, since it uses less digits than its factorization.

381888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 35 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 381888 is about 617.9708731000. The cubic root of 381888 is about 72.5513231522.

Adding to 381888 its sum of digits (36), we get a square (381924 = 618²).

The spelling of 381888 in words is "three hundred eighty-one thousand, eight hundred eighty-eight".