384241312 has 96 divisors (see below), whose sum is σ = 971695872. Its totient is φ = 145373184.

The previous prime is 384241229. The next prime is 384241321. The reversal of 384241312 is 213142483.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64108 + ... + 69844.

It is an arithmetic number, because the mean of its divisors is an integer number (10121832).

Almost surely, 2^384241312 is an apocalyptic number.

384241312 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 384241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485847936).

384241312 is an abundant number, since it is smaller than the sum of its proper divisors (587454560).

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

384241312 is a wasteful number, since it uses less digits than its factorization.

384241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790 (or 5782 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 384241312 is about 19602.0741759641. The cubic root of 384241312 is about 727.0004597663. Note that the first 3 decimals are identical.

Adding to 384241312 its reverse (213142483), we get a palindrome (597383795).

It can be divided in two parts, 3842 and 41312, that added together give a palindrome (45154).

The spelling of 384241312 in words is "three hundred eighty-four million, two hundred forty-one thousand, three hundred twelve".