384611328 has 110 divisors (see below), whose sum is σ = 1148772306. Its totient is φ = 128176128.

The previous prime is 384611309. The next prime is 384611329. The reversal of 384611328 is 823116483.

384611328 is a `hidden beast` number, since 3 + 8 + 4 + 611 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288728064 + 95883264 = 16992^2 + 9792^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 384611292 and 384611301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384611329) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80626 + ... + 85262.

Almost surely, 2^384611328 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 384611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574386153).

384611328 is an abundant number, since it is smaller than the sum of its proper divisors (764160978).

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

384611328 is an equidigital number, since it uses as much as digits as its factorization.

384611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4642 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 384611328 is about 19611.5100897407. The cubic root of 384611328 is about 727.2337467592.

The spelling of 384611328 in words is "three hundred eighty-four million, six hundred eleven thousand, three hundred twenty-eight".