384124832 has 144 divisors (see below), whose sum is σ = 955523520. Its totient is φ = 148801536.

The previous prime is 384124799. The next prime is 384124837. The reversal of 384124832 is 238421483.

It is a junction number, because it is equal to n+sod(n) for n = 384124792 and 384124801.

It is not an unprimeable number, because it can be changed into a prime (384124837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763419 + ... + 2763557.

It is an arithmetic number, because the mean of its divisors is an integer number (6635580).

Almost surely, 2^384124832 is an apocalyptic number.

384124832 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 384124832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477761760).

384124832 is an abundant number, since it is smaller than the sum of its proper divisors (571398688).

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

384124832 is a wasteful number, since it uses less digits than its factorization.

384124832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 384124832 is about 19599.1028366096. The cubic root of 384124832 is about 726.9269906822.

The spelling of 384124832 in words is "three hundred eighty-four million, one hundred twenty-four thousand, eight hundred thirty-two".