384162208 has 48 divisors (see below), whose sum is σ = 783216000. Its totient is φ = 185366016.

The previous prime is 384162203. The next prime is 384162299. The reversal of 384162208 is 802261483.

It is not an unprimeable number, because it can be changed into a prime (384162203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108043 + ... + 111541.

It is an arithmetic number, because the mean of its divisors is an integer number (16317000).

Almost surely, 2^384162208 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 384162208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391608000).

384162208 is an abundant number, since it is smaller than the sum of its proper divisors (399053792).

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

384162208 is a wasteful number, since it uses less digits than its factorization.

384162208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 384162208 is about 19600.0563264497. The cubic root of 384162208 is about 726.9505669954.

It can be divided in two parts, 3841 and 62208, that added together give a square (66049 = 257²).

The spelling of 384162208 in words is "three hundred eighty-four million, one hundred sixty-two thousand, two hundred eight".