381900 has 72 divisors (see below), whose sum is σ = 1180480. Its totient is φ = 95040.

The previous prime is 381859. The next prime is 381911. The reversal of 381900 is 9183.

It is a super-2 number, since 2×381900² = 291695220000, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381900.

It is an unprimeable number.

381900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5667 + ... + 5733.

2³⁸¹⁹⁰⁰ is an apocalyptic number.

381900 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 381900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590240).

381900 is an abundant number, since it is smaller than the sum of its proper divisors (798580).

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

381900 is a wasteful number, since it uses less digits than its factorization.

381900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 381900 is about 617.9805822192. The cubic root of 381900 is about 72.5520830667.

The spelling of 381900 in words is "three hundred eighty-one thousand, nine hundred".