385984116 has 288 divisors, whose sum is σ = 1268047872. Its totient is φ = 100154880.

The previous prime is 385984087. The next prime is 385984121. The reversal of 385984116 is 611489583.

385984116 is a `hidden beast` number, since 3 + 8 + 598 + 41 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5436361 + ... + 5436431.

It is an arithmetic number, because the mean of its divisors is an integer number (4402944).

Almost surely, 2^385984116 is an apocalyptic number.

385984116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385984116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936).

385984116 is an abundant number, since it is smaller than the sum of its proper divisors (882063756).

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

385984116 is a wasteful number, since it uses less digits than its factorization.

385984116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 385984116 is about 19646.4784630732. The cubic root of 385984116 is about 728.0979545567.

The spelling of 385984116 in words is "three hundred eighty-five million, nine hundred eighty-four thousand, one hundred sixteen".