384418008 has 128 divisors (see below), whose sum is σ = 1217764800. Its totient is φ = 111310848.

The previous prime is 384417989. The next prime is 384418031. The reversal of 384418008 is 800814483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 43710 + ... + 51762.

Almost surely, 2^384418008 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 384418008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608882400).

384418008 is an abundant number, since it is smaller than the sum of its proper divisors (833346792).

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

384418008 is a wasteful number, since it uses less digits than its factorization.

384418008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8098 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 384418008 is about 19606.5807319889. The cubic root of 384418008 is about 727.1118814029. Note that the first 3 decimals are identical.

The spelling of 384418008 in words is "three hundred eighty-four million, four hundred eighteen thousand, eight".