384875168 has 48 divisors (see below), whose sum is σ = 784982016. Its totient is φ = 185560320.

The previous prime is 384875017. The next prime is 384875171. The reversal of 384875168 is 861578483.

It is a super-3 number, since 3×384875168³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379430 + ... + 380442.

It is an arithmetic number, because the mean of its divisors is an integer number (16353792).

Almost surely, 2^384875168 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 384875168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392491008).

384875168 is an abundant number, since it is smaller than the sum of its proper divisors (400106848).

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

384875168 is a wasteful number, since it uses less digits than its factorization.

384875168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1429 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 50.

The square root of 384875168 is about 19618.2355985445. The cubic root of 384875168 is about 727.4000007409.

The spelling of 384875168 in words is "three hundred eighty-four million, eight hundred seventy-five thousand, one hundred sixty-eight".