3281680 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 1161216.

The previous prime is 3281657. The next prime is 3281687. The reversal of 3281680 is 861823.

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 (3281687) 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 15 ways as a sum of consecutive naturals, for example, 25777 + ... + 25903.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 2^3281680 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 3281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3281680 is an abundant number, since it is smaller than the sum of its proper divisors (5289200).

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

3281680 is a wasteful number, since it uses less digits than its factorization.

3281680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 3281680 is about 1811.5407806616. The cubic root of 3281680 is about 148.6045396757.

It can be divided in two parts, 32816 and 80, that added together give a triangular number (32896 = T₂₅₆).

The spelling of 3281680 in words is "three million, two hundred eighty-one thousand, six hundred eighty".