3806856 has 48 divisors (see below), whose sum is σ = 10596300. Its totient is φ = 1233792.

The previous prime is 3806851. The next prime is 3806867. The reversal of 3806856 is 6586083.

3806856 = T₄₃₅ + T₄₃₆ + ... + T₄₇₁.

It can be written as a sum of positive squares in 2 ways, for example, as 3802500 + 4356 = 1950^2 + 66^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3806856.

It is not an unprimeable number, because it can be changed into a prime (3806851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1950 + ... + 3378.

Almost surely, 2^3806856 is an apocalyptic number.

3806856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298150).

3806856 is an abundant number, since it is smaller than the sum of its proper divisors (6789444).

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

3806856 is a wasteful number, since it uses less digits than its factorization.

3806856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3806856 is about 1951.1166033838. The cubic root of 3806856 is about 156.1428671478.

The spelling of 3806856 in words is "three million, eight hundred six thousand, eight hundred fifty-six".