384112512 has 384 divisors, whose sum is σ = 1400256000. Its totient is φ = 98537472.

The previous prime is 384112499. The next prime is 384112513. The reversal of 384112512 is 215211483.

384112512 is a `hidden beast` number, since 38 + 4 + 112 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384112513) 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 47 ways as a sum of consecutive naturals, for example, 3523914 + ... + 3524022.

It is an arithmetic number, because the mean of its divisors is an integer number (3646500).

Almost surely, 2^384112512 is an apocalyptic number.

384112512 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 384112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700128000).

384112512 is an abundant number, since it is smaller than the sum of its proper divisors (1016143488).

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

384112512 is a wasteful number, since it uses less digits than its factorization.

384112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 384112512 is about 19598.7885339885. The cubic root of 384112512 is about 726.9192190452.

Adding to 384112512 its reverse (215211483), we get a palindrome (599323995).

It can be divided in two parts, 384 and 112512, that added together give a square (112896 = 336²).

The spelling of 384112512 in words is "three hundred eighty-four million, one hundred twelve thousand, five hundred twelve".