3368560 has 80 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 1198080.

The previous prime is 3368551. The next prime is 3368569. The reversal of 3368560 is 658633.

3368560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3368551) and next prime (3368569).

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

It is a super-2 number, since 2×3368560² = 22694392947200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368569) 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 15 ways as a sum of consecutive naturals, for example, 42601 + ... + 42679.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 2^3368560 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 3368560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

3368560 is an abundant number, since it is smaller than the sum of its proper divisors (5380880).

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

3368560 is a wasteful number, since it uses less digits than its factorization.

3368560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 3368560 is about 1835.3637241702. The cubic root of 3368560 is about 149.9045318444.

The spelling of 3368560 in words is "three million, three hundred sixty-eight thousand, five hundred sixty".