381840000 has 320 divisors, whose sum is σ = 1331948640. Its totient is φ = 96768000.

The previous prime is 381839999. The next prime is 381840031. The reversal of 381840000 is 48183.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable 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 39 ways as a sum of consecutive naturals, for example, 8879979 + ... + 8880021.

Almost surely, 2^381840000 is an apocalyptic number.

381840000 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 381840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665974320).

381840000 is an abundant number, since it is smaller than the sum of its proper divisors (950108640).

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

381840000 is an equidigital number, since it uses as much as digits as its factorization.

381840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 381840000 is about 19540.7267009188. The cubic root of 381840000 is about 725.4828333469.

Adding to 381840000 its reverse (48183), we get a palindrome (381888183).

The spelling of 381840000 in words is "three hundred eighty-one million, eight hundred forty thousand".