384023824 has 20 divisors (see below), whose sum is σ = 776396736. Its totient is φ = 183663392.

The previous prime is 384023821. The next prime is 384023867. The reversal of 384023824 is 428320483.

It is a super-3 number, since 3×384023824³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 384023824.

It is not an unprimeable number, because it can be changed into a prime (384023821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 521404 + ... + 522139.

Almost surely, 2^384023824 is an apocalyptic number.

It is an amenable number.

384023824 is an abundant number, since it is smaller than the sum of its proper divisors (392372912).

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

384023824 is a wasteful number, since it uses less digits than its factorization.

384023824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043574 (or 1043568 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 384023824 is about 19596.5258145417. The cubic root of 384023824 is about 726.8632684474.

The spelling of 384023824 in words is "three hundred eighty-four million, twenty-three thousand, eight hundred twenty-four".