3286560 has 96 divisors (see below), whose sum is σ = 10668672. Its totient is φ = 849920.

The previous prime is 3286553. The next prime is 3286561. The reversal of 3286560 is 656823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3¹³ + 2¹³ + 8 + 6⁴ + 5⁵ + 6⁸ + 0 .

It is not an unprimeable number, because it can be changed into a prime (3286561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19597 + ... + 19763.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

Almost surely, 2^3286560 is an apocalyptic number.

3286560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336).

3286560 is an abundant number, since it is smaller than the sum of its proper divisors (7382112).

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

3286560 is a wasteful number, since it uses less digits than its factorization.

3286560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3286560 is about 1812.8872000210. The cubic root of 3286560 is about 148.6781636516.

The spelling of 3286560 in words is "three million, two hundred eighty-six thousand, five hundred sixty".