3280896 has 78 divisors (see below), whose sum is σ = 9583470. Its totient is φ = 1081344.

The previous prime is 3280889. The next prime is 3280897. The reversal of 3280896 is 6980823.

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 921600 = 1536^2 + 960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3280896.

It is not an unprimeable number, because it can be changed into a prime (3280897) 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, 36820 + ... + 36908.

It is an arithmetic number, because the mean of its divisors is an integer number (122865).

Almost surely, 2^3280896 is an apocalyptic number.

3280896 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 3280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791735).

3280896 is an abundant number, since it is smaller than the sum of its proper divisors (6302574).

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

3280896 is an equidigital number, since it uses as much as digits as its factorization.

3280896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3280896 is about 1811.3243773549. The cubic root of 3280896 is about 148.5927047580.

The spelling of 3280896 in words is "three million, two hundred eighty thousand, eight hundred ninety-six".