384565664 has 48 divisors (see below), whose sum is σ = 893200896. Its totient is φ = 159494400.

The previous prime is 384565661. The next prime is 384565669. The reversal of 384565664 is 466565483.

It is a happy number.

It is a super-3 number, since 3×384565664³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (384565661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20747 + ... + 34634.

It is an arithmetic number, because the mean of its divisors is an integer number (18608352).

Almost surely, 2^384565664 is an apocalyptic number.

It is an amenable number.

384565664 is an abundant number, since it is smaller than the sum of its proper divisors (508635232).

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

384565664 is a wasteful number, since it uses less digits than its factorization.

384565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55429 (or 55421 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 47.

The square root of 384565664 is about 19610.3458409075. The cubic root of 384565664 is about 727.2049647017.

The spelling of 384565664 in words is "three hundred eighty-four million, five hundred sixty-five thousand, six hundred sixty-four".