385367382 has 48 divisors (see below), whose sum is σ = 884362752. Its totient is φ = 125715240.

The previous prime is 385367357. The next prime is 385367387. The reversal of 385367382 is 283763583.

385367382 is a `hidden beast` number, since 38 + 536 + 7 + 3 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385367387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14407 + ... + 31277.

It is an arithmetic number, because the mean of its divisors is an integer number (18424224).

Almost surely, 2^385367382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385367382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442181376).

385367382 is an abundant number, since it is smaller than the sum of its proper divisors (498995370).

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

385367382 is a wasteful number, since it uses less digits than its factorization.

385367382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16923 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 385367382 is about 19630.7763982987. The cubic root of 385367382 is about 727.7099574680.

The spelling of 385367382 in words is "three hundred eighty-five million, three hundred sixty-seven thousand, three hundred eighty-two".