384003216 has 135 divisors (see below), whose sum is σ = 1139478067. Its totient is φ = 120711360.

The previous prime is 384003203. The next prime is 384003223. The reversal of 384003216 is 612300483.

It is a happy number.

The square root of 384003216 is 19596.

It is a perfect power (a square), and thus also a powerful number.

384003216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 384003216.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5408461 + ... + 5408531.

Almost surely, 2^384003216 is an apocalyptic number.

384003216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

384003216 is the 19596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384003216

384003216 is an abundant number, since it is smaller than the sum of its proper divisors (755474851).

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

384003216 is a wasteful number, since it uses less digits than its factorization.

384003216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 384003216 is about 726.8502662452.

Adding to 384003216 its reverse (612300483), we get a palindrome (996303699).

It can be divided in two parts, 38400 and 3216, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 384003216 in words is "three hundred eighty-four million, three thousand, two hundred sixteen".