384003828 has 90 divisors (see below), whose sum is σ = 1087177014. Its totient is φ = 118138176.

The previous prime is 384003821. The next prime is 384003853. The reversal of 384003828 is 828300483.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13749264 + 370254564 = 3708^2 + 19242^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 384003792 and 384003801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384003821) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 51250 + ... + 58262.

Almost surely, 2^384003828 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 384003828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543588507).

384003828 is an abundant number, since it is smaller than the sum of its proper divisors (703173186).

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

384003828 is a wasteful number, since it uses less digits than its factorization.

384003828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 384003828 is about 19596.0156154255. The cubic root of 384003828 is about 726.8506523810.

The spelling of 384003828 in words is "three hundred eighty-four million, three thousand, eight hundred twenty-eight".