384279168 has 192 divisors, whose sum is σ = 1279545120. Its totient is φ = 101283840.

The previous prime is 384279167. The next prime is 384279197. The reversal of 384279168 is 861972483.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (384279163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243823 + ... + 245393.

Almost surely, 2^384279168 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 384279168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639772560).

384279168 is an abundant number, since it is smaller than the sum of its proper divisors (895265952).

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

384279168 is a wasteful number, since it uses less digits than its factorization.

384279168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1596 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 384279168 is about 19603.0397642815. The cubic root of 384279168 is about 727.0243340217.

The spelling of 384279168 in words is "three hundred eighty-four million, two hundred seventy-nine thousand, one hundred sixty-eight".