3660869955600 has 1215 divisors, whose sum is σ = 15189065195031. Its totient is φ = 815542041600.

The previous prime is 3660869955581. The next prime is 3660869955629. The reversal of 3660869955600 is 65599680663.

The square root of 3660869955600 is 1913340.

It is a perfect power (a square), and thus also a powerful number.

3660869955600 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 8 + 69 + 9 + 5 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 943594646544 + 2717275309056 = 971388^2 + 1648416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 16416457089 + ... + 16416457311.

Almost surely, 2^{3660869955600} is an apocalyptic number.

3660869955600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3660869955600 is the 1913340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3660869955600

3660869955600 is an abundant number, since it is smaller than the sum of its proper divisors (11528195239431).

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

3660869955600 is a wasteful number, since it uses less digits than its factorization.

3660869955600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 3660869955600 in words is "three trillion, six hundred sixty billion, eight hundred sixty-nine million, nine hundred fifty-five thousand, six hundred".