3689568 has 72 divisors (see below), whose sum is σ = 10968048. Its totient is φ = 1174272.

The previous prime is 3689551. The next prime is 3689573. The reversal of 3689568 is 8659863.

3689568 is a `hidden beast` number, since 3 + 6 + 89 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3689568² = 27225824053248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6346 + ... + 6902.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^3689568 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 3689568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024).

3689568 is an abundant number, since it is smaller than the sum of its proper divisors (7278480).

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

3689568 is a wasteful number, since it uses less digits than its factorization.

3689568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3689568 is about 1920.8248228300. The cubic root of 3689568 is about 154.5225404635.

It can be divided in two parts, 36895 and 68, that added together give a palindrome (36963).

The spelling of 3689568 in words is "three million, six hundred eighty-nine thousand, five hundred sixty-eight".