3728256 has 128 divisors (see below), whose sum is σ = 12076800. Its totient is φ = 995328.

The previous prime is 3728251. The next prime is 3728267. The reversal of 3728256 is 6528273.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51036 + ... + 51108.

It is an arithmetic number, because the mean of its divisors is an integer number (94350).

Almost surely, 2^3728256 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 3728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038400).

3728256 is an abundant number, since it is smaller than the sum of its proper divisors (8348544).

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

3728256 is a wasteful number, since it uses less digits than its factorization.

3728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 3728256 is about 1930.8692343087. The cubic root of 3728256 is about 155.0607600846.

The spelling of 3728256 in words is "three million, seven hundred twenty-eight thousand, two hundred fifty-six".