385760000 has 90 divisors (see below), whose sum is σ = 962607492. Its totient is φ = 154240000.

The previous prime is 385759993. The next prime is 385760003. The reversal of 385760000 is 67583.

It is not an unprimeable number, because it can be changed into a prime (385760003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 158795 + ... + 161205.

Almost surely, 2^385760000 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 385760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481303746).

385760000 is an abundant number, since it is smaller than the sum of its proper divisors (576847492).

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

385760000 is an frugal number, since it uses more digits than its factorization.

385760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 385760000 is about 19640.7739155055. The cubic root of 385760000 is about 727.9570074840.

The spelling of 385760000 in words is "three hundred eighty-five million, seven hundred sixty thousand".