385684288 has 56 divisors (see below), whose sum is σ = 839419200. Its totient is φ = 174366720.

The previous prime is 385684279. The next prime is 385684289. The reversal of 385684288 is 882486583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385684289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138720 + ... + 141472.

Almost surely, 2^385684288 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 385684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419709600).

385684288 is an abundant number, since it is smaller than the sum of its proper divisors (453734912).

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

385684288 is a wasteful number, since it uses less digits than its factorization.

385684288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2965 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 52.

The square root of 385684288 is about 19638.8464019657. The cubic root of 385684288 is about 727.9093796955.

The spelling of 385684288 in words is "three hundred eighty-five million, six hundred eighty-four thousand, two hundred eighty-eight".