381813432 has 256 divisors, whose sum is σ = 1339269120. Its totient is φ = 87436800.

The previous prime is 381813427. The next prime is 381813461. The reversal of 381813432 is 234318183.

381813432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 381813393 and 381813402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552207 + ... + 552897.

It is an arithmetic number, because the mean of its divisors is an integer number (5231520).

Almost surely, 2^381813432 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 381813432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669634560).

381813432 is an abundant number, since it is smaller than the sum of its proper divisors (957455688).

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

381813432 is a wasteful number, since it uses less digits than its factorization.

381813432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 381813432 is about 19540.0468781423. The cubic root of 381813432 is about 725.4660068620.

The spelling of 381813432 in words is "three hundred eighty-one million, eight hundred thirteen thousand, four hundred thirty-two".