384218016 has 288 divisors, whose sum is σ = 1296667008. Its totient is φ = 98703360.

The previous prime is 384217973. The next prime is 384218033. The reversal of 384218016 is 610812483.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3730221 + ... + 3730323.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2^384218016 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 384218016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

384218016 is an abundant number, since it is smaller than the sum of its proper divisors (912448992).

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

384218016 is a wasteful number, since it uses less digits than its factorization.

384218016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 384218016 is about 19601.4799441267. The cubic root of 384218016 is about 726.9857671375.

The spelling of 384218016 in words is "three hundred eighty-four million, two hundred eighteen thousand, sixteen".