3586728 has 64 divisors (see below), whose sum is σ = 9720000. Its totient is φ = 1098752.

The previous prime is 3586727. The next prime is 3586729. The reversal of 3586728 is 8276853.

It is an interprime number because it is at equal distance from previous prime (3586727) and next prime (3586729).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3586727) 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, 23998 + ... + 24146.

It is an arithmetic number, because the mean of its divisors is an integer number (151875).

Almost surely, 2^3586728 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 3586728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860000).

3586728 is an abundant number, since it is smaller than the sum of its proper divisors (6133272).

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

3586728 is a wasteful number, since it uses less digits than its factorization.

3586728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 3586728 is about 1893.8658875433. The cubic root of 3586728 is about 153.0733127229.

The spelling of 3586728 in words is "three million, five hundred eighty-six thousand, seven hundred twenty-eight".