3286528 has 60 divisors (see below), whose sum is σ = 7697052. Its totient is φ = 1397760.

The previous prime is 3286513. The next prime is 3286529. The reversal of 3286528 is 8256823.

It is a d-powerful number, because it can be written as 3⁶ + 2 + 8² + 6⁷ + 5⁹ + 2²⁰ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 3286493 and 3286502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3286529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25023 + ... + 25153.

Almost surely, 2^3286528 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 3286528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848526).

3286528 is an abundant number, since it is smaller than the sum of its proper divisors (4410524).

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

3286528 is an equidigital number, since it uses as much as digits as its factorization.

3286528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 3286528 is about 1812.8783742987. The cubic root of 3286528 is about 148.6776811089.

It can be divided in two parts, 32 and 86528, that multiplied together give a square (2768896 = 1664²).

The spelling of 3286528 in words is "three million, two hundred eighty-six thousand, five hundred twenty-eight".