382784864 has 72 divisors (see below), whose sum is σ = 956383848. Its totient is φ = 149130240.

The previous prime is 382784863. The next prime is 382784867. The reversal of 382784864 is 468487283.

382784864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382784863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6152 + ... + 28344.

It is an arithmetic number, because the mean of its divisors is an integer number (13283109).

Almost surely, 2^382784864 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 382784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478191924).

382784864 is an abundant number, since it is smaller than the sum of its proper divisors (573598984).

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

382784864 is a wasteful number, since it uses less digits than its factorization.

382784864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22228 (or 22213 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 50.

The square root of 382784864 is about 19564.8885506665. Note that the first 3 decimals coincide. The cubic root of 382784864 is about 726.0807434475.

The spelling of 382784864 in words is "three hundred eighty-two million, seven hundred eighty-four thousand, eight hundred sixty-four".