381109824 has 84 divisors (see below), whose sum is σ = 1107887040. Its totient is φ = 125233920.

The previous prime is 381109823. The next prime is 381109843. The reversal of 381109824 is 428901183.

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

It is not an unprimeable number, because it can be changed into a prime (381109823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36237 + ... + 45555.

Almost surely, 2^381109824 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 381109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553943520).

381109824 is an abundant number, since it is smaller than the sum of its proper divisors (726777216).

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

381109824 is a wasteful number, since it uses less digits than its factorization.

381109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 381109824 is about 19522.0343202239. The cubic root of 381109824 is about 725.0201018604.

The spelling of 381109824 in words is "three hundred eighty-one million, one hundred nine thousand, eight hundred twenty-four".