384811824 has 20 divisors (see below), whose sum is σ = 994097336. Its totient is φ = 128270592.

The previous prime is 384811789. The next prime is 384811907. The reversal of 384811824 is 428118483.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4008409 + ... + 4008504.

Almost surely, 2^384811824 is an apocalyptic number.

It is an amenable number.

384811824 is an abundant number, since it is smaller than the sum of its proper divisors (609285512).

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

384811824 is a wasteful number, since it uses less digits than its factorization.

384811824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016924 (or 8016918 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 384811824 is about 19616.6211157783. The cubic root of 384811824 is about 727.3600926031.

The spelling of 384811824 in words is "three hundred eighty-four million, eight hundred eleven thousand, eight hundred twenty-four".