3279680 has 56 divisors (see below), whose sum is σ = 8049768. Its totient is φ = 1271808.

The previous prime is 3279677. The next prime is 3279709. The reversal of 3279680 is 869723.

It can be written as a sum of positive squares in 4 ways, for example, as 430336 + 2849344 = 656^2 + 1688^2 .

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 3279680.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11702 + ... + 11978.

Almost surely, 2^3279680 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 3279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024884).

3279680 is an abundant number, since it is smaller than the sum of its proper divisors (4770088).

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

3279680 is a wasteful number, since it uses less digits than its factorization.

3279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3279680 is about 1810.9886802518. The cubic root of 3279680 is about 148.5743448286.

The spelling of 3279680 in words is "three million, two hundred seventy-nine thousand, six hundred eighty".