384072216 has 128 divisors (see below), whose sum is σ = 1119191040. Its totient is φ = 108662400.

The previous prime is 384072187. The next prime is 384072217. The reversal of 384072216 is 612270483.

It is a super-2 number, since 2×384072216² = 295022934206301312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384072217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260361 + ... + 261831.

It is an arithmetic number, because the mean of its divisors is an integer number (8743680).

Almost surely, 2^384072216 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 384072216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559595520).

384072216 is an abundant number, since it is smaller than the sum of its proper divisors (735118824).

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

384072216 is a wasteful number, since it uses less digits than its factorization.

384072216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 384072216 is about 19597.7604843002. The cubic root of 384072216 is about 726.8937985757.

The spelling of 384072216 in words is "three hundred eighty-four million, seventy-two thousand, two hundred sixteen".