385582368 has 96 divisors (see below), whose sum is σ = 1044937152. Its totient is φ = 124416000.

The previous prime is 385582363. The next prime is 385582381. The reversal of 385582368 is 863285583.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (385582361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641268 + ... + 641868.

It is an arithmetic number, because the mean of its divisors is an integer number (10884762).

Almost surely, 2^385582368 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 385582368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522468576).

385582368 is an abundant number, since it is smaller than the sum of its proper divisors (659354784).

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

385582368 is a wasteful number, since it uses less digits than its factorization.

385582368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 385582368 is about 19636.2513734165. The cubic root of 385582368 is about 727.8452555209.

The spelling of 385582368 in words is "three hundred eighty-five million, five hundred eighty-two thousand, three hundred sixty-eight".