3765768 has 64 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1182720.

The previous prime is 3765761. The next prime is 3765779. The reversal of 3765768 is 8675673.

It is not an unprimeable number, because it can be changed into a prime (3765761) 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, 42268 + ... + 42356.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 2^3765768 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 3765768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

3765768 is an abundant number, since it is smaller than the sum of its proper divisors (6213432).

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

3765768 is a wasteful number, since it uses less digits than its factorization.

3765768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 3765768 is about 1940.5586824417. The cubic root of 3765768 is about 155.5790756575.

The spelling of 3765768 in words is "three million, seven hundred sixty-five thousand, seven hundred sixty-eight".