381111432 has 64 divisors (see below), whose sum is σ = 1038502080. Its totient is φ = 115844352.

The previous prime is 381111431. The next prime is 381111461. The reversal of 381111432 is 234111183.

381111432 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 (24).

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

It is not an unprimeable number, because it can be changed into a prime (381111431) 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, 18538 + ... + 33254.

It is an arithmetic number, because the mean of its divisors is an integer number (16226595).

Almost surely, 2^381111432 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 381111432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519251040).

381111432 is an abundant number, since it is smaller than the sum of its proper divisors (657390648).

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

381111432 is a wasteful number, since it uses less digits than its factorization.

381111432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14822 (or 14818 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 381111432 is about 19522.0755044129. The cubic root of 381111432 is about 725.0211215408.

The spelling of 381111432 in words is "three hundred eighty-one million, one hundred eleven thousand, four hundred thirty-two".