384717216 has 192 divisors, whose sum is σ = 1140023808. Its totient is φ = 112831488.

The previous prime is 384717209. The next prime is 384717233. The reversal of 384717216 is 612717483.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3595435 + ... + 3595541.

It is an arithmetic number, because the mean of its divisors is an integer number (5937624).

Almost surely, 2^384717216 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 384717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570011904).

384717216 is an abundant number, since it is smaller than the sum of its proper divisors (755306592).

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

384717216 is a wasteful number, since it uses less digits than its factorization.

384717216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 384717216 is about 19614.2095430838. The cubic root of 384717216 is about 727.3004792895.

The spelling of 384717216 in words is "three hundred eighty-four million, seven hundred seventeen thousand, two hundred sixteen".