384163008 has 112 divisors (see below), whose sum is σ = 1105655904. Its totient is φ = 117227520.

The previous prime is 384162967. The next prime is 384163009. The reversal of 384163008 is 800361483.

It is a self number, because there is not a number n which added to its sum of digits gives 384163008.

It is not an unprimeable number, because it can be changed into a prime (384163009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119178 + ... + 122358.

Almost surely, 2^384163008 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 384163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552827952).

384163008 is an abundant number, since it is smaller than the sum of its proper divisors (721492896).

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

384163008 is a wasteful number, since it uses less digits than its factorization.

384163008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 384163008 is about 19600.0767345437. The cubic root of 384163008 is about 726.9510716087.

The spelling of 384163008 in words is "three hundred eighty-four million, one hundred sixty-three thousand, eight".