381752384 has 56 divisors (see below), whose sum is σ = 837928728. Its totient is φ = 171417600.

The previous prime is 381752369. The next prime is 381752407. The reversal of 381752384 is 483257183.

381752384 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 47886400 + 333865984 = 6920^2 + 18272^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24584 + ... + 36984.

It is an arithmetic number, because the mean of its divisors is an integer number (14963013).

Almost surely, 2^381752384 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 381752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418964364).

381752384 is an abundant number, since it is smaller than the sum of its proper divisors (456176344).

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

381752384 is a wasteful number, since it uses less digits than its factorization.

381752384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12463 (or 12453 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 381752384 is about 19538.4846904769. The cubic root of 381752384 is about 725.4273399760.

The spelling of 381752384 in words is "three hundred eighty-one million, seven hundred fifty-two thousand, three hundred eighty-four".