382544320 has 56 divisors (see below), whose sum is σ = 918203904. Its totient is φ = 151796736.

The previous prime is 382544317. The next prime is 382544321. The reversal of 382544320 is 23445283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382544321) 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 7 ways as a sum of consecutive naturals, for example, 35934 + ... + 45346.

Almost surely, 2^382544320 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 382544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459101952).

382544320 is an abundant number, since it is smaller than the sum of its proper divisors (535659584).

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

382544320 is a wasteful number, since it uses less digits than its factorization.

382544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 382544320 is about 19558.7402457316. The cubic root of 382544320 is about 725.9286206059.

The spelling of 382544320 in words is "three hundred eighty-two million, five hundred forty-four thousand, three hundred twenty".