3683768 has 32 divisors (see below), whose sum is σ = 7726320. Its totient is φ = 1632000.

The previous prime is 3683741. The next prime is 3683803. The reversal of 3683768 is 8673863.

3683768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3098 + ... + 4118.

Almost surely, 2^3683768 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 3683768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863160).

3683768 is an abundant number, since it is smaller than the sum of its proper divisors (4042552).

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

3683768 is a wasteful number, since it uses less digits than its factorization.

3683768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1075 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 3683768 is about 1919.3144609469. The cubic root of 3683768 is about 154.4415281995.

The spelling of 3683768 in words is "three million, six hundred eighty-three thousand, seven hundred sixty-eight".