3663394560 has 576 divisors, whose sum is σ = 15658675200. Its totient is φ = 792281088.

The previous prime is 3663394517. The next prime is 3663394561. The reversal of 3663394560 is 654933663.

3663394560 is a `hidden beast` number, since 3 + 6 + 633 + 9 + 4 + 5 + 6 + 0 = 666.

3663394560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663394561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4596082 + ... + 4596878.

It is an arithmetic number, because the mean of its divisors is an integer number (27185200).

Almost surely, 2^3663394560 is an apocalyptic number.

3663394560 is a gapful number since it is divisible by the number (30) 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 3663394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7829337600).

3663394560 is an abundant number, since it is smaller than the sum of its proper divisors (11995280640).

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

3663394560 is a wasteful number, since it uses less digits than its factorization.

3663394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The square root of 3663394560 is about 60525.9825199063. The cubic root of 3663394560 is about 1541.5628369064.

The spelling of 3663394560 in words is "three billion, six hundred sixty-three million, three hundred ninety-four thousand, five hundred sixty".