3217680 has 120 divisors (see below), whose sum is σ = 11171160. Its totient is φ = 829440.

The previous prime is 3217673. The next prime is 3217681. The reversal of 3217680 is 867123.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 3154176 = 252^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3217681) 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 23 ways as a sum of consecutive naturals, for example, 29466 + ... + 29574.

It is an arithmetic number, because the mean of its divisors is an integer number (93093).

Almost surely, 2^3217680 is an apocalyptic number.

3217680 is a gapful number since it is divisible by the number (30) 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 3217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585580).

3217680 is an abundant number, since it is smaller than the sum of its proper divisors (7953480).

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

3217680 is a wasteful number, since it uses less digits than its factorization.

3217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

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

The square root of 3217680 is about 1793.7892852841. The cubic root of 3217680 is about 147.6321519840.

It can be divided in two parts, 321 and 7680, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 3217680 in words is "three million, two hundred seventeen thousand, six hundred eighty".