3856160 has 96 divisors (see below), whose sum is σ = 11394432. Its totient is φ = 1198080.

The previous prime is 3856147. The next prime is 3856187. The reversal of 3856160 is 616583.

3856160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 12164 + ... + 12476.

It is an arithmetic number, because the mean of its divisors is an integer number (118692).

Almost surely, 2^3856160 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 3856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697216).

3856160 is an abundant number, since it is smaller than the sum of its proper divisors (7538272).

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

3856160 is a wasteful number, since it uses less digits than its factorization.

3856160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 3856160 is about 1963.7107730010. The cubic root of 3856160 is about 156.8140657936.

It can be divided in two parts, 385 and 6160, that multiplied together give a square (2371600 = 1540²).

The spelling of 3856160 in words is "three million, eight hundred fifty-six thousand, one hundred sixty".