3853872 has 80 divisors (see below), whose sum is σ = 12082560. Its totient is φ = 1166400.

The previous prime is 3853853. The next prime is 3853873. The reversal of 3853872 is 2783583.

3853872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3853873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4347 + ... + 5157.

It is an arithmetic number, because the mean of its divisors is an integer number (151032).

Almost surely, 2^3853872 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 3853872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041280).

3853872 is an abundant number, since it is smaller than the sum of its proper divisors (8228688).

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

3853872 is a wasteful number, since it uses less digits than its factorization.

3853872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3853872 is about 1963.1281160434. The cubic root of 3853872 is about 156.7830451610.

The spelling of 3853872 in words is "three million, eight hundred fifty-three thousand, eight hundred seventy-two".