381984768 has 224 divisors, whose sum is σ = 1242486720. Its totient is φ = 115015680.

The previous prime is 381984763. The next prime is 381984787. The reversal of 381984768 is 867489183.

381984768 is a `hidden beast` number, since 3 + 81 + 98 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (381984763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2432946 + ... + 2433102.

Almost surely, 2^381984768 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 381984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621243360).

381984768 is an abundant number, since it is smaller than the sum of its proper divisors (860501952).

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

381984768 is a wasteful number, since it uses less digits than its factorization.

381984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 381984768 is about 19544.4306133487. The cubic root of 381984768 is about 725.5745064985.

The spelling of 381984768 in words is "three hundred eighty-one million, nine hundred eighty-four thousand, seven hundred sixty-eight".