381267432 has 384 divisors, whose sum is σ = 1413417600. Its totient is φ = 94058496.

The previous prime is 381267421. The next prime is 381267443. The reversal of 381267432 is 234762183.

It is a happy number.

381267432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381267421) and next prime (381267443).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2338983 + ... + 2339145.

It is an arithmetic number, because the mean of its divisors is an integer number (3680775).

Almost surely, 2^381267432 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 381267432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706708800).

381267432 is an abundant number, since it is smaller than the sum of its proper divisors (1032150168).

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

381267432 is a wasteful number, since it uses less digits than its factorization.

381267432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 381267432 is about 19526.0705724424. The cubic root of 381267432 is about 725.1200321278.

The spelling of 381267432 in words is "three hundred eighty-one million, two hundred sixty-seven thousand, four hundred thirty-two".