3768640 has 28 divisors (see below), whose sum is σ = 8974836. Its totient is φ = 1507328.

The previous prime is 3768617. The next prime is 3768643. The reversal of 3768640 is 468673.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 1763584 = 1416^2 + 1328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3768596 and 3768605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5569 + ... + 6208.

Almost surely, 2^3768640 is an apocalyptic number.

It is an amenable number.

3768640 is an abundant number, since it is smaller than the sum of its proper divisors (5206196).

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

3768640 is a wasteful number, since it uses less digits than its factorization.

3768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794 (or 11784 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3768640 is about 1941.2985344866. The cubic root of 3768640 is about 155.6186169110.

The spelling of 3768640 in words is "three million, seven hundred sixty-eight thousand, six hundred forty".