3325680 has 120 divisors (see below), whose sum is σ = 11606400. Its totient is φ = 852480.

The previous prime is 3325657. The next prime is 3325681. The reversal of 3325680 is 865233.

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

It is a super-2 number, since 2×3325680² = 22120294924800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22246 + ... + 22394.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 2^3325680 is an apocalyptic number.

3325680 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 3325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

3325680 is an abundant number, since it is smaller than the sum of its proper divisors (8280720).

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

3325680 is a wasteful number, since it uses less digits than its factorization.

3325680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3325680 is about 1823.6447022378. The cubic root of 3325680 is about 149.2657449952.

It can be divided in two parts, 3325 and 680, that added together give a triangular number (4005 = T₈₉).

The spelling of 3325680 in words is "three million, three hundred twenty-five thousand, six hundred eighty".