3270816 has 72 divisors (see below), whose sum is σ = 9562644. Its totient is φ = 1059840.

The previous prime is 3270803. The next prime is 3270821. The reversal of 3270816 is 6180723.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 646416 = 1620^2 + 804^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3270816.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11670 + ... + 11946.

Almost surely, 2^3270816 is an apocalyptic number.

3270816 is a gapful number since it is divisible by the number (36) 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 3270816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781322).

3270816 is an abundant number, since it is smaller than the sum of its proper divisors (6291828).

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

3270816 is a wasteful number, since it uses less digits than its factorization.

3270816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3270816 is about 1808.5397424442. The cubic root of 3270816 is about 148.4403732999.

The spelling of 3270816 in words is "three million, two hundred seventy thousand, eight hundred sixteen".