381824000 has 176 divisors, whose sum is σ = 1009089120. Its totient is φ = 143769600.

The previous prime is 381823969. The next prime is 381824011. The reversal of 381824000 is 428183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431922 + ... + 2432078.

Almost surely, 2^381824000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504544560).

381824000 is an abundant number, since it is smaller than the sum of its proper divisors (627265120).

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

381824000 is a wasteful number, since it uses less digits than its factorization.

381824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 381824000 is about 19540.3172952744. The cubic root of 381824000 is about 725.4727000560.

The spelling of 381824000 in words is "three hundred eighty-one million, eight hundred twenty-four thousand".