3683568 has 80 divisors (see below), whose sum is σ = 11467520. Its totient is φ = 995328.

The previous prime is 3683527. The next prime is 3683569. The reversal of 3683568 is 8653863.

It is a super-3 number, since 3×3683568³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6096 + ... + 6672.

It is an arithmetic number, because the mean of its divisors is an integer number (143344).

Almost surely, 2^3683568 is an apocalyptic number.

3683568 is a gapful number since it is divisible by the number (38) 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 3683568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733760).

3683568 is an abundant number, since it is smaller than the sum of its proper divisors (7783952).

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

3683568 is a wasteful number, since it uses less digits than its factorization.

3683568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 3683568 is about 1919.2623583033. The cubic root of 3683568 is about 154.4387331570.

The spelling of 3683568 in words is "three million, six hundred eighty-three thousand, five hundred sixty-eight".