3660631704000 has 672 divisors, whose sum is σ = 13946970588096. Its totient is φ = 949766860800.

The previous prime is 3660631703947. The next prime is 3660631704011. The reversal of 3660631704000 is 4071360663.

It is a happy number.

3660631704000 is a `hidden beast` number, since 3 + 6 + 606 + 3 + 1 + 7 + 0 + 40 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71902554 + ... + 71953446.

It is an arithmetic number, because the mean of its divisors is an integer number (20754420518).

Almost surely, 2^{3660631704000} is an apocalyptic number.

3660631704000 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 3660631704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973485294048).

3660631704000 is an abundant number, since it is smaller than the sum of its proper divisors (10286338884096).

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

3660631704000 is an equidigital number, since it uses as much as digits as its factorization.

3660631704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50972 (or 50940 counting only the distinct ones).

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

The spelling of 3660631704000 in words is "three trillion, six hundred sixty billion, six hundred thirty-one million, seven hundred four thousand".