381808000 has 192 divisors, whose sum is σ = 1106520480. Its totient is φ = 130636800.

The previous prime is 381807989. The next prime is 381808003. The reversal of 381808000 is 808183.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 381808000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381808003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783757 + ... + 784243.

Almost surely, 2^381808000 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 381808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553260240).

381808000 is an abundant number, since it is smaller than the sum of its proper divisors (724712480).

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

381808000 is an equidigital number, since it uses as much as digits as its factorization.

381808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 381808000 is about 19539.9078810520. The cubic root of 381808000 is about 725.4625664819.

The spelling of 381808000 in words is "three hundred eighty-one million, eight hundred eight thousand".