3664728 has 48 divisors (see below), whose sum is σ = 10361520. Its totient is φ = 1167936.

The previous prime is 3664723. The next prime is 3664747. The reversal of 3664728 is 8274663.

3664728 is a `hidden beast` number, since 3 + 6 + 647 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3664692 and 3664701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550 + ... + 2762.

It is an arithmetic number, because the mean of its divisors is an integer number (215865).

Almost surely, 2^3664728 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 3664728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180760).

3664728 is an abundant number, since it is smaller than the sum of its proper divisors (6696792).

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

3664728 is a wasteful number, since it uses less digits than its factorization.

3664728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2241 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3664728 is about 1914.3479307587. The cubic root of 3664728 is about 154.1749852179.

The spelling of 3664728 in words is "three million, six hundred sixty-four thousand, seven hundred twenty-eight".