381800 has 48 divisors (see below), whose sum is σ = 937440. Its totient is φ = 144320.

The previous prime is 381793. The next prime is 381817. The reversal of 381800 is 8183.

381800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4559 + ... + 4641.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2³⁸¹⁸⁰⁰ 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 381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

381800 is an abundant number, since it is smaller than the sum of its proper divisors (555640).

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

381800 is a wasteful number, since it uses less digits than its factorization.

381800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 381800 is about 617.8996682310. The cubic root of 381800 is about 72.5457499589.

Adding to 381800 its reverse (8183), we get a palindrome (389983).

The spelling of 381800 in words is "three hundred eighty-one thousand, eight hundred".