3956256 has 96 divisors (see below), whose sum is σ = 12196800. Its totient is φ = 1244160.

The previous prime is 3956233. The next prime is 3956261. The reversal of 3956256 is 6526593.

3956256 = T₁₃₅ + T₁₃₆ + ... + T₂₉₆.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 3956256.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16296 + ... + 16536.

It is an arithmetic number, because the mean of its divisors is an integer number (127050).

Almost surely, 2^3956256 is an apocalyptic number.

3956256 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 3956256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098400).

3956256 is an abundant number, since it is smaller than the sum of its proper divisors (8240544).

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

3956256 is a wasteful number, since it uses less digits than its factorization.

3956256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 3956256 is about 1989.0339363621. The cubic root of 3956256 is about 158.1593222792.

The spelling of 3956256 in words is "three million, nine hundred fifty-six thousand, two hundred fifty-six".