3680768 has 80 divisors (see below), whose sum is σ = 9166080. Its totient is φ = 1437696.

The previous prime is 3680753. The next prime is 3680791. The reversal of 3680768 is 8670863.

3680768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46553 + ... + 46631.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 2^3680768 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 3680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583040).

3680768 is an abundant number, since it is smaller than the sum of its proper divisors (5485312).

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

3680768 is an equidigital number, since it uses as much as digits as its factorization.

3680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 3680768 is about 1918.5327727198. The cubic root of 3680768 is about 154.3995919343.

The spelling of 3680768 in words is "three million, six hundred eighty thousand, seven hundred sixty-eight".