3663221760 has 660 divisors, whose sum is σ = 14626412724. Its totient is φ = 875888640.

The previous prime is 3663221699. The next prime is 3663221773. The reversal of 3663221760 is 671223663.

3663221760 is a `hidden beast` number, since 3 + 6 + 632 + 2 + 17 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1696121856 + 1967099904 = 41184^2 + 44352^2 .

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50181084 + ... + 50181156.

Almost surely, 2^3663221760 is an apocalyptic number.

3663221760 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 3663221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313206362).

3663221760 is an abundant number, since it is smaller than the sum of its proper divisors (10963190964).

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

3663221760 is a wasteful number, since it uses less digits than its factorization.

3663221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3663221760 is about 60524.5550169516. Note that the first 3 decimals coincide. The cubic root of 3663221760 is about 1541.5385983445.

The spelling of 3663221760 in words is "three billion, six hundred sixty-three million, two hundred twenty-one thousand, seven hundred sixty".