385381584 has 160 divisors (see below), whose sum is σ = 1305313280. Its totient is φ = 106531200.

The previous prime is 385381571. The next prime is 385381589. The reversal of 385381584 is 485183583.

385381584 is a `hidden beast` number, since 38 + 5 + 38 + 1 + 584 = 666.

385381584 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 (385381589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91689 + ... + 95799.

It is an arithmetic number, because the mean of its divisors is an integer number (8158208).

Almost surely, 2^385381584 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 385381584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652656640).

385381584 is an abundant number, since it is smaller than the sum of its proper divisors (919931696).

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

385381584 is a wasteful number, since it uses less digits than its factorization.

385381584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4154 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 385381584 is about 19631.1381228904. The cubic root of 385381584 is about 727.7188968250.

The spelling of 385381584 in words is "three hundred eighty-five million, three hundred eighty-one thousand, five hundred eighty-four".