3209680 has 40 divisors (see below), whose sum is σ = 7613352. Its totient is φ = 1257984.

The previous prime is 3209653. The next prime is 3209681. The reversal of 3209680 is 869023.

3209680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 2483776 = 852^2 + 1576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3862 + ... + 4618.

Almost surely, 2^3209680 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 3209680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806676).

3209680 is an abundant number, since it is smaller than the sum of its proper divisors (4403672).

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

3209680 is a wasteful number, since it uses less digits than its factorization.

3209680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3209680 is about 1791.5579811996. The cubic root of 3209680 is about 147.5096996398.

It can be divided in two parts, 320 and 9680, that multiplied together give a square (3097600 = 1760²).

The spelling of 3209680 in words is "three million, two hundred nine thousand, six hundred eighty".