381838200 has 96 divisors (see below), whose sum is σ = 1193256960. Its totient is φ = 101001600.

The previous prime is 381838189. The next prime is 381838211. The reversal of 381838200 is 2838183.

It is an interprime number because it is at equal distance from previous prime (381838189) and next prime (381838211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73695 + ... + 78705.

It is an arithmetic number, because the mean of its divisors is an integer number (12429760).

Almost surely, 2^381838200 is an apocalyptic number.

381838200 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 381838200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596628480).

381838200 is an abundant number, since it is smaller than the sum of its proper divisors (811418760).

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

381838200 is a wasteful number, since it uses less digits than its factorization.

381838200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 381838200 is about 19540.6806432120. The cubic root of 381838200 is about 725.4816933658.

The spelling of 381838200 in words is "three hundred eighty-one million, eight hundred thirty-eight thousand, two hundred".