385178112 has 320 divisors, whose sum is σ = 1325808000. Its totient is φ = 109117440.

The previous prime is 385178111. The next prime is 385178119. The reversal of 385178112 is 211871583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385178111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2585014 + ... + 2585162.

It is an arithmetic number, because the mean of its divisors is an integer number (4143150).

Almost surely, 2^385178112 is an apocalyptic number.

385178112 is a gapful number since it is divisible by the number (32) 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 385178112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662904000).

385178112 is an abundant number, since it is smaller than the sum of its proper divisors (940629888).

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

385178112 is a wasteful number, since it uses less digits than its factorization.

385178112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 385178112 is about 19625.9550595633. The cubic root of 385178112 is about 727.5908017176.

The spelling of 385178112 in words is "three hundred eighty-five million, one hundred seventy-eight thousand, one hundred twelve".