385585938 has 48 divisors (see below), whose sum is σ = 884834496. Its totient is φ = 121096800.

The previous prime is 385585931. The next prime is 385585969. The reversal of 385585938 is 839585583.

385585938 is a `hidden beast` number, since 3 + 8 + 558 + 59 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (385585931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20788 + ... + 34688.

It is an arithmetic number, because the mean of its divisors is an integer number (18434052).

Almost surely, 2^385585938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385585938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442417248).

385585938 is an abundant number, since it is smaller than the sum of its proper divisors (499248558).

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

385585938 is a wasteful number, since it uses less digits than its factorization.

385585938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13999 (or 13996 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The square root of 385585938 is about 19636.3422765035. The cubic root of 385585938 is about 727.8475018196.

The spelling of 385585938 in words is "three hundred eighty-five million, five hundred eighty-five thousand, nine hundred thirty-eight".