384083856 has 280 divisors, whose sum is σ = 1280777400. Its totient is φ = 110481408.

The previous prime is 384083851. The next prime is 384083891. The reversal of 384083856 is 658380483.

It can be written as a sum of positive squares in 4 ways, for example, as 6170256 + 377913600 = 2484^2 + 19440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384083851) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2577670 + ... + 2577818.

It is an arithmetic number, because the mean of its divisors is an integer number (4574205).

Almost surely, 2^384083856 is an apocalyptic number.

384083856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384083856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640388700).

384083856 is an abundant number, since it is smaller than the sum of its proper divisors (896693544).

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

384083856 is a wasteful number, since it uses less digits than its factorization.

384083856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 384083856 is about 19598.0574547581. The cubic root of 384083856 is about 726.9011417766.

The spelling of 384083856 in words is "three hundred eighty-four million, eighty-three thousand, eight hundred fifty-six".