384084324 has 72 divisors (see below), whose sum is σ = 1049505912. Its totient is φ = 117734400.

The previous prime is 384084319. The next prime is 384084331. The reversal of 384084324 is 423480483.

It can be written as a sum of positive squares in 4 ways, for example, as 81324324 + 302760000 = 9018^2 + 17400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135724 + ... + 138524.

It is an arithmetic number, because the mean of its divisors is an integer number (14576471).

Almost surely, 2^384084324 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 384084324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524752956).

384084324 is an abundant number, since it is smaller than the sum of its proper divisors (665421588).

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

384084324 is a wasteful number, since it uses less digits than its factorization.

384084324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 384084324 is about 19598.0693947133. The cubic root of 384084324 is about 726.9014370156.

The spelling of 384084324 in words is "three hundred eighty-four million, eighty-four thousand, three hundred twenty-four".