384638166 has 128 divisors (see below), whose sum is σ = 992217600. Its totient is φ = 109226880.

The previous prime is 384638129. The next prime is 384638171. The reversal of 384638166 is 661836483.

384638166 is a `hidden beast` number, since 3 + 8 + 4 + 638 + 1 + 6 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1952380 + ... + 1952576.

It is an arithmetic number, because the mean of its divisors is an integer number (7751700).

Almost surely, 2^384638166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384638166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496108800).

384638166 is an abundant number, since it is smaller than the sum of its proper divisors (607579434).

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

384638166 is a wasteful number, since it uses less digits than its factorization.

384638166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 384638166 is about 19612.1943188415. The cubic root of 384638166 is about 727.2506617103.

The spelling of 384638166 in words is "three hundred eighty-four million, six hundred thirty-eight thousand, one hundred sixty-six".