385633872 has 200 divisors, whose sum is σ = 1230087936. Its totient is φ = 115893504.

The previous prime is 385633837. The next prime is 385633889. The reversal of 385633872 is 278336583.

385633872 is a `hidden beast` number, since 3 + 8 + 5 + 633 + 8 + 7 + 2 = 666.

Its product of digits (725760) is a multiple of the sum of its prime factors (567).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 791613 + ... + 792099.

Almost surely, 2^385633872 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 385633872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615043968).

385633872 is an abundant number, since it is smaller than the sum of its proper divisors (844454064).

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

385633872 is a wasteful number, since it uses less digits than its factorization.

385633872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 385633872 is about 19637.5627815674. The cubic root of 385633872 is about 727.8776612844.

The spelling of 385633872 in words is "three hundred eighty-five million, six hundred thirty-three thousand, eight hundred seventy-two".