3663638784 has 243 divisors, whose sum is σ = 11557365183. Its totient is φ = 1115652096.

The previous prime is 3663638777. The next prime is 3663638791. The reversal of 3663638784 is 4878363663.

The square root of 3663638784 is 60528.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3663638777) and next prime (3663638791).

It can be written as a sum of positive squares in 4 ways, for example, as 669360384 + 2994278400 = 25872^2 + 54720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3663638784.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37769424 + ... + 37769520.

Almost surely, 2^3663638784 is an apocalyptic number.

3663638784 is the 60528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663638784

3663638784 is an abundant number, since it is smaller than the sum of its proper divisors (7893726399).

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

3663638784 is an equidigital number, since it uses as much as digits as its factorization.

3663638784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 115 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The cubic root of 3663638784 is about 1541.5970927739.

The spelling of 3663638784 in words is "three billion, six hundred sixty-three million, six hundred thirty-eight thousand, seven hundred eighty-four".