3905856 has 42 divisors (see below), whose sum is σ = 11197082. Its totient is φ = 1301760.

The previous prime is 3905843. The next prime is 3905857. The reversal of 3905856 is 6585093.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 665856 = 1800^2 + 816^2 .

It is a super-2 number, since 2×3905856² = 30511422185472, which contains 22 as substring.

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 3905856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3905857) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2815 + ... + 3966.

Almost surely, 2^3905856 is an apocalyptic number.

3905856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3905856 is an abundant number, since it is smaller than the sum of its proper divisors (7291226).

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

3905856 is a wasteful number, since it uses less digits than its factorization.

3905856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6799 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3905856 is about 1976.3238600999. The cubic root of 3905856 is about 157.4848360306.

It can be divided in two parts, 3905 and 856, that added together give a square (4761 = 69²).

The spelling of 3905856 in words is "three million, nine hundred five thousand, eight hundred fifty-six".