384944112 has 240 divisors, whose sum is σ = 1294139392. Its totient is φ = 104509440.

The previous prime is 384944093. The next prime is 384944113. The reversal of 384944112 is 211449483.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384944113) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3030993 + ... + 3031119.

Almost surely, 2^384944112 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 384944112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647069696).

384944112 is an abundant number, since it is smaller than the sum of its proper divisors (909195280).

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

384944112 is a wasteful number, since it uses less digits than its factorization.

384944112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 384944112 is about 19619.9926605491. The cubic root of 384944112 is about 727.4434320277.

It can be divided in two parts, 3849 and 44112, that added together give a square (47961 = 219²).

The spelling of 384944112 in words is "three hundred eighty-four million, nine hundred forty-four thousand, one hundred twelve".