384020208 has 240 divisors, whose sum is σ = 1338101856. Its totient is φ = 101007360.

The previous prime is 384020201. The next prime is 384020237. The reversal of 384020208 is 802020483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384020201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349516 + ... + 350612.

Almost surely, 2^384020208 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 384020208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669050928).

384020208 is an abundant number, since it is smaller than the sum of its proper divisors (954081648).

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

384020208 is a wasteful number, since it uses less digits than its factorization.

384020208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 384020208 is about 19596.4335530729. The cubic root of 384020208 is about 726.8609870387.

The spelling of 384020208 in words is "three hundred eighty-four million, twenty thousand, two hundred eight".