3728864256 has 88 divisors (see below), whose sum is σ = 10703419104. Its totient is φ = 1147330560.

The previous prime is 3728864221. The next prime is 3728864257. The reversal of 3728864256 is 6524688273.

It is a junction number, because it is equal to n+sod(n) for n = 3728864199 and 3728864208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728864257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6750 + ... + 86621.

Almost surely, 2^3728864256 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 3728864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351709552).

3728864256 is an abundant number, since it is smaller than the sum of its proper divisors (6974554848).

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

3728864256 is a wasteful number, since it uses less digits than its factorization.

3728864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93407 (or 93389 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 3728864256 is about 61064.4270913926. The cubic root of 3728864256 is about 1550.6919222271.

The spelling of 3728864256 in words is "three billion, seven hundred twenty-eight million, eight hundred sixty-four thousand, two hundred fifty-six".