381088000 has 72 divisors (see below), whose sum is σ = 949417560. Its totient is φ = 152422400.

The previous prime is 381087983. The next prime is 381088009. The reversal of 381088000 is 880183.

381088000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32444416 + 348643584 = 5696^2 + 18672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 381088000.

It is not an unprimeable number, because it can be changed into a prime (381088009) 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 7 ways as a sum of consecutive naturals, for example, 26046 + ... + 37954.

It is an arithmetic number, because the mean of its divisors is an integer number (13186355).

Almost surely, 2^381088000 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 381088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474708780).

381088000 is an abundant number, since it is smaller than the sum of its proper divisors (568329560).

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

381088000 is an equidigital number, since it uses as much as digits as its factorization.

381088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11940 (or 11916 counting only the distinct ones).

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

The square root of 381088000 is about 19521.4753540812. The cubic root of 381088000 is about 725.0062623320.

The spelling of 381088000 in words is "three hundred eighty-one million, eighty-eight thousand".