384411312 has 80 divisors (see below), whose sum is σ = 1107533280. Its totient is φ = 127657728.

The previous prime is 384411301. The next prime is 384411317. The reversal of 384411312 is 213114483.

It is a super-2 number, since 2×384411312² = 295544113587122688, which contains 22 as substring.

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.

It is not an unprimeable number, because it can be changed into a prime (384411317) 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, 125058 + ... + 128094.

It is an arithmetic number, because the mean of its divisors is an integer number (13844166).

Almost surely, 2^384411312 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 384411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553766640).

384411312 is an abundant number, since it is smaller than the sum of its proper divisors (723121968).

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

384411312 is a wasteful number, since it uses less digits than its factorization.

384411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3335 counting only the distinct ones).

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

The square root of 384411312 is about 19606.4099722514. The cubic root of 384411312 is about 727.1076596362.

Adding to 384411312 its reverse (213114483), we get a palindrome (597525795).

The spelling of 384411312 in words is "three hundred eighty-four million, four hundred eleven thousand, three hundred twelve".