3663545760 has 504 divisors, whose sum is σ = 15118957476. Its totient is φ = 836075520.

The previous prime is 3663545741. The next prime is 3663545797. The reversal of 3663545760 is 675453663.

3663545760 is a `hidden beast` number, since 3 + 6 + 635 + 4 + 5 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3566956176 + 96589584 = 59724^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3663545760² = 26843135071227955200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5715040 + ... + 5715680.

Almost surely, 2^3663545760 is an apocalyptic number.

3663545760 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 3663545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559478738).

3663545760 is an abundant number, since it is smaller than the sum of its proper divisors (11455411716).

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

3663545760 is an equidigital number, since it uses as much as digits as its factorization.

3663545760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The square root of 3663545760 is about 60527.2315573742. The cubic root of 3663545760 is about 1541.5840450227.

The spelling of 3663545760 in words is "three billion, six hundred sixty-three million, five hundred forty-five thousand, seven hundred sixty".