384838848 has 84 divisors (see below), whose sum is σ = 1115613720. Its totient is φ = 126821376.

The previous prime is 384838841. The next prime is 384838849. The reversal of 384838848 is 848838483.

It is a Smith number, since the sum of its digits (54) 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 a junction number, because it is equal to n+sod(n) for n = 384838794 and 384838803.

It is not an unprimeable number, because it can be changed into a prime (384838841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47511 + ... + 55017.

Almost surely, 2^384838848 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 384838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557806860).

384838848 is an abundant number, since it is smaller than the sum of its proper divisors (730774872).

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

384838848 is a wasteful number, since it uses less digits than its factorization.

384838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7601 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 384838848 is about 19617.3099073242. The cubic root of 384838848 is about 727.3771188636.

The spelling of 384838848 in words is "three hundred eighty-four million, eight hundred thirty-eight thousand, eight hundred forty-eight".