384909330 has 144 divisors (see below), whose sum is σ = 1046701440. Its totient is φ = 90529920.

The previous prime is 384909323. The next prime is 384909331. The reversal of 384909330 is 33909483.

384909330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (384909331) 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 71 ways as a sum of consecutive naturals, for example, 4872231 + ... + 4872309.

It is an arithmetic number, because the mean of its divisors is an integer number (7268760).

Almost surely, 2^384909330 is an apocalyptic number.

384909330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384909330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523350720).

384909330 is an abundant number, since it is smaller than the sum of its proper divisors (661792110).

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

384909330 is a wasteful number, since it uses less digits than its factorization.

384909330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 384909330 is about 19619.1062487566. The cubic root of 384909330 is about 727.4215217479.

The spelling of 384909330 in words is "three hundred eighty-four million, nine hundred nine thousand, three hundred thirty".