381830220 has 96 divisors (see below), whose sum is σ = 1196697600. Its totient is φ = 101068992.

The previous prime is 381830219. The next prime is 381830221. The reversal of 381830220 is 22038183.

It is an interprime number because it is at equal distance from previous prime (381830219) and next prime (381830221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (381830221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 72517 + ... + 77603.

It is an arithmetic number, because the mean of its divisors is an integer number (12465600).

Almost surely, 2^381830220 is an apocalyptic number.

381830220 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 381830220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598348800).

381830220 is an abundant number, since it is smaller than the sum of its proper divisors (814867380).

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

381830220 is a wasteful number, since it uses less digits than its factorization.

381830220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 381830220 is about 19540.4764527378. The cubic root of 381830220 is about 725.4766394065.

The spelling of 381830220 in words is "three hundred eighty-one million, eight hundred thirty thousand, two hundred twenty".