385640000 has 140 divisors (see below), whose sum is σ = 990283008. Its totient is φ = 148800000.

The previous prime is 385639997. The next prime is 385640041. The reversal of 385640000 is 46583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1239845 + ... + 1240155.

Almost surely, 2^385640000 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 385640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495141504).

385640000 is an abundant number, since it is smaller than the sum of its proper divisors (604643008).

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

385640000 is an equidigital number, since it uses as much as digits as its factorization.

385640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 385640000 is about 19637.7188084563. The cubic root of 385640000 is about 727.8815167641.

Adding to 385640000 its reverse (46583), we get a palindrome (385686583).

The spelling of 385640000 in words is "three hundred eighty-five million, six hundred forty thousand".