3684768 has 48 divisors (see below), whose sum is σ = 9779616. Its totient is φ = 1214720.

The previous prime is 3684763. The next prime is 3684781. The reversal of 3684768 is 8674863.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3684763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12430 + ... + 12722.

It is an arithmetic number, because the mean of its divisors is an integer number (203742).

Almost surely, 2^3684768 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 3684768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889808).

3684768 is an abundant number, since it is smaller than the sum of its proper divisors (6094848).

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

3684768 is a wasteful number, since it uses less digits than its factorization.

3684768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3684768 is about 1919.5749529518. The cubic root of 3684768 is about 154.4555018949.

The spelling of 3684768 in words is "three million, six hundred eighty-four thousand, seven hundred sixty-eight".