3663216576 has 280 divisors, whose sum is σ = 11610813456. Its totient is φ = 1137991680.

The previous prime is 3663216539. The next prime is 3663216617. The reversal of 3663216576 is 6756123663.

3663216576 is a `hidden beast` number, since 3 + 6 + 63 + 2 + 16 + 576 = 666.

3663216576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17361111 + ... + 17361321.

Almost surely, 2^3663216576 is an apocalyptic number.

3663216576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805406728).

3663216576 is an abundant number, since it is smaller than the sum of its proper divisors (7947596880).

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

3663216576 is a wasteful number, since it uses less digits than its factorization.

3663216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3663216576 is about 60524.5121913428. The cubic root of 3663216576 is about 1541.5378711759.

The spelling of 3663216576 in words is "three billion, six hundred sixty-three million, two hundred sixteen thousand, five hundred seventy-six".