3812256 has 144 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1036800.

The previous prime is 3812219. The next prime is 3812257. The reversal of 3812256 is 6522183.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3812257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62466 + ... + 62526.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 2^3812256 is an apocalyptic number.

3812256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is a pronic number, being equal to 1952×1953.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3812256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

3812256 is an abundant number, since it is smaller than the sum of its proper divisors (9186912).

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

3812256 is a wasteful number, since it uses less digits than its factorization.

3812256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 3812256 is about 1952.4999359795. The cubic root of 3812256 is about 156.2166614738.

The spelling of 3812256 in words is "three million, eight hundred twelve thousand, two hundred fifty-six".