381000 has 64 divisors (see below), whose sum is σ = 1198080. Its totient is φ = 100800.

The previous prime is 380983. The next prime is 381001. The reversal of 381000 is 183.

It is a super-2 number, since 2×381000² = 290322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381000.

It is not an unprimeable number, because it can be changed into a prime (381001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2937 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2³⁸¹⁰⁰⁰ is an apocalyptic number.

381000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599040).

381000 is an abundant number, since it is smaller than the sum of its proper divisors (817080).

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

381000 is a wasteful number, since it uses less digits than its factorization.

381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 381000 is about 617.2519744804. The cubic root of 381000 is about 72.4950452421.

Adding to 381000 its reverse (183), we get a palindrome (381183).

It can be divided in two parts, 3 and 81000, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 381000 in words is "three hundred eighty-one thousand".