381834000 has 200 divisors, whose sum is σ = 1379797848. Its totient is φ = 101779200.

The previous prime is 381833989. The next prime is 381834007. The reversal of 381834000 is 438183.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 327899664 = 7344^2 + 18108^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (381834007) 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 39 ways as a sum of consecutive naturals, for example, 160822 + ... + 163178.

Almost surely, 2^381834000 is an apocalyptic number.

381834000 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 381834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689898924).

381834000 is an abundant number, since it is smaller than the sum of its proper divisors (997963848).

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

381834000 is a wasteful number, since it uses less digits than its factorization.

381834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2367 counting only the distinct ones).

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

The square root of 381834000 is about 19540.5731748073. The cubic root of 381834000 is about 725.4790333960.

The spelling of 381834000 in words is "three hundred eighty-one million, eight hundred thirty-four thousand".