385848320 has 352 divisors, whose sum is σ = 1188504576. Its totient is φ = 117964800.

The previous prime is 385848319. The next prime is 385848329. The reversal of 385848320 is 23848583.

385848320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385848329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12446705 + ... + 12446735.

Almost surely, 2^385848320 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 385848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594252288).

385848320 is an abundant number, since it is smaller than the sum of its proper divisors (802656256).

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

385848320 is a wasteful number, since it uses less digits than its factorization.

385848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 385848320 is about 19643.0221707353. The cubic root of 385848320 is about 728.0125586531.

The spelling of 385848320 in words is "three hundred eighty-five million, eight hundred forty-eight thousand, three hundred twenty".