3666528 has 72 divisors (see below), whose sum is σ = 10810800. Its totient is φ = 1177344.

The previous prime is 3666521. The next prime is 3666529. The reversal of 3666528 is 8256663.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 3666492 and 3666501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666521) 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, 8133 + ... + 8571.

It is an arithmetic number, because the mean of its divisors is an integer number (150150).

Almost surely, 2^3666528 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 3666528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405400).

3666528 is an abundant number, since it is smaller than the sum of its proper divisors (7144272).

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

3666528 is a wasteful number, since it uses less digits than its factorization.

3666528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3666528 is about 1914.8180070179. The cubic root of 3666528 is about 154.2002230664.

It can be divided in two parts, 36 and 66528, that added together give a square (66564 = 258²).

The spelling of 3666528 in words is "three million, six hundred sixty-six thousand, five hundred twenty-eight".