3965856 has 48 divisors (see below), whose sum is σ = 10533600. Its totient is φ = 1306368.

The previous prime is 3965849. The next prime is 3965869. The reversal of 3965856 is 6585693.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3 + 9⁵ + 6 + 5⁹ + 8³ + 5⁹ + 6² .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10275 + ... + 10653.

It is an arithmetic number, because the mean of its divisors is an integer number (219450).

Almost surely, 2^3965856 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 3965856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266800).

3965856 is an abundant number, since it is smaller than the sum of its proper divisors (6567744).

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

3965856 is a wasteful number, since it uses less digits than its factorization.

3965856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 3965856 is about 1991.4457060136. The cubic root of 3965856 is about 158.2871454073.

The spelling of 3965856 in words is "three million, nine hundred sixty-five thousand, eight hundred fifty-six".