381382688 has 48 divisors (see below), whose sum is σ = 787885056. Its totient is φ = 181378560.

The previous prime is 381382681. The next prime is 381382751. The reversal of 381382688 is 886283183.

It is a super-2 number, since 2×381382688² = 290905509412210688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381382681) 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, 139220 + ... + 141932.

It is an arithmetic number, because the mean of its divisors is an integer number (16414272).

Almost surely, 2^381382688 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 381382688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393942528).

381382688 is an abundant number, since it is smaller than the sum of its proper divisors (406502368).

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

381382688 is a wasteful number, since it uses less digits than its factorization.

381382688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2929 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The square root of 381382688 is about 19529.0216856862. The cubic root of 381382688 is about 725.1930919692.

The spelling of 381382688 in words is "three hundred eighty-one million, three hundred eighty-two thousand, six hundred eighty-eight".