384012288 has 156 divisors (see below), whose sum is σ = 1211350608. Its totient is φ = 116244480.

The previous prime is 384012271. The next prime is 384012289. The reversal of 384012288 is 882210483.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (384012289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405031 + ... + 405977.

It is an arithmetic number, because the mean of its divisors is an integer number (7765068).

Almost surely, 2^384012288 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 384012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605675304).

384012288 is an abundant number, since it is smaller than the sum of its proper divisors (827338320).

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

384012288 is a wasteful number, since it uses less digits than its factorization.

384012288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 963 counting only the distinct ones).

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

The square root of 384012288 is about 19596.2314744443. The cubic root of 384012288 is about 726.8559900980.

The spelling of 384012288 in words is "three hundred eighty-four million, twelve thousand, two hundred eighty-eight".