385741872 has 80 divisors (see below), whose sum is σ = 1137194080. Its totient is φ = 125100288.

The previous prime is 385741871. The next prime is 385741879. The reversal of 385741872 is 278147583.

385741872 is a `hidden beast` number, since 3 + 8 + 574 + 1 + 8 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (385741871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3918 + ... + 28050.

It is an arithmetic number, because the mean of its divisors is an integer number (14214926).

Almost surely, 2^385741872 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 385741872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568597040).

385741872 is an abundant number, since it is smaller than the sum of its proper divisors (751452208).

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

385741872 is a wasteful number, since it uses less digits than its factorization.

385741872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24187 (or 24175 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 385741872 is about 19640.3124211404. The cubic root of 385741872 is about 727.9456043566.

The spelling of 385741872 in words is "three hundred eighty-five million, seven hundred forty-one thousand, eight hundred seventy-two".