3663305856 has 384 divisors, whose sum is σ = 12559872000. Its totient is φ = 1024192512.

The previous prime is 3663305831. The next prime is 3663305873. The reversal of 3663305856 is 6585033663.

3663305856 is a `hidden beast` number, since 3 + 6 + 63 + 3 + 0 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28844865 + ... + 28844991.

It is an arithmetic number, because the mean of its divisors is an integer number (32708000).

Almost surely, 2^3663305856 is an apocalyptic number.

3663305856 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 3663305856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279936000).

3663305856 is an abundant number, since it is smaller than the sum of its proper divisors (8896566144).

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

3663305856 is a wasteful number, since it uses less digits than its factorization.

3663305856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 3663305856 is about 60525.2497392617. The cubic root of 3663305856 is about 1541.5503945398.

The spelling of 3663305856 in words is "three billion, six hundred sixty-three million, three hundred five thousand, eight hundred fifty-six".