3206880 has 144 divisors (see below), whose sum is σ = 11675664. Its totient is φ = 798720.

The previous prime is 3206873. The next prime is 3206881. The reversal of 3206880 is 886023.

3206880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3206881) 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 23 ways as a sum of consecutive naturals, for example, 24415 + ... + 24545.

It is an arithmetic number, because the mean of its divisors is an integer number (81081).

Almost surely, 2^3206880 is an apocalyptic number.

3206880 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 3206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837832).

3206880 is an abundant number, since it is smaller than the sum of its proper divisors (8468784).

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

3206880 is a wasteful number, since it uses less digits than its factorization.

3206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3206880 is about 1790.7763679477. The cubic root of 3206880 is about 147.4667932525.

The spelling of 3206880 in words is "three million, two hundred six thousand, eight hundred eighty".