384314112 has 432 divisors, whose sum is σ = 1436359680. Its totient is φ = 99201024.

The previous prime is 384314111. The next prime is 384314123. The reversal of 384314112 is 211413483.

384314112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (2304) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384314111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8176873 + ... + 8176919.

Almost surely, 2^384314112 is an apocalyptic number.

384314112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718179840).

384314112 is an abundant number, since it is smaller than the sum of its proper divisors (1052045568).

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

384314112 is a wasteful number, since it uses less digits than its factorization.

384314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 384314112 is about 19603.9310343615. The cubic root of 384314112 is about 727.0463704043.

Adding to 384314112 its reverse (211413483), we get a palindrome (595727595).

It can be divided in two parts, 3843 and 14112, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 384314112 in words is "three hundred eighty-four million, three hundred fourteen thousand, one hundred twelve".