3207680 has 80 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 1093632.

The previous prime is 3207643. The next prime is 3207689. The reversal of 3207680 is 867023.

It is a Cunningham number, because it is equal to 1791²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3207689) 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 7 ways as a sum of consecutive naturals, for example, 17831 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 2^3207680 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 3207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

3207680 is an abundant number, since it is smaller than the sum of its proper divisors (5631040).

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

3207680 is an equidigital number, since it uses as much as digits as its factorization.

3207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 3207680 is about 1790.9997208263. Note that the first 3 decimals coincide. The cubic root of 3207680 is about 147.4790547679.

It can be divided in two parts, 320 and 7680, that added together give a cube (8000 = 20³).

The spelling of 3207680 in words is "three million, two hundred seven thousand, six hundred eighty".