3663880 has 48 divisors (see below), whose sum is σ = 9073260. Its totient is φ = 1330560.

The previous prime is 3663833. The next prime is 3663887. The reversal of 3663880 is 883663.

It can be written as a sum of positive squares in 2 ways, for example, as 3663396 + 484 = 1914^2 + 22^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3663887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4462 + ... + 5218.

Almost surely, 2^3663880 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 3663880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536630).

3663880 is an abundant number, since it is smaller than the sum of its proper divisors (5409380).

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

3663880 is a wasteful number, since it uses less digits than its factorization.

3663880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3663880 is about 1914.1264326057. The cubic root of 3663880 is about 154.1630925233.

The spelling of 3663880 in words is "three million, six hundred sixty-three thousand, eight hundred eighty".