384161824 has 48 divisors (see below), whose sum is σ = 810589248. Its totient is φ = 178751232.

The previous prime is 384161819. The next prime is 384161831. The reversal of 384161824 is 428161483.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20179 + ... + 34285.

It is an arithmetic number, because the mean of its divisors is an integer number (16887276).

Almost surely, 2^384161824 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 384161824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405294624).

384161824 is an abundant number, since it is smaller than the sum of its proper divisors (426427424).

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

384161824 is a wasteful number, since it uses less digits than its factorization.

384161824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14177 (or 14169 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 384161824 is about 19600.0465305570. The cubic root of 384161824 is about 726.9503247808.

The spelling of 384161824 in words is "three hundred eighty-four million, one hundred sixty-one thousand, eight hundred twenty-four".