3663927309120 has 448 divisors, whose sum is σ = 13232738770944. Its totient is φ = 852495114240.

The previous prime is 3663927309067. The next prime is 3663927309121. The reversal of 3663927309120 is 219037293663.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663927309121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16525719 + ... + 16745961.

It is an arithmetic number, because the mean of its divisors is an integer number (29537363328).

Almost surely, 2^{3663927309120} is an apocalyptic number.

3663927309120 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 3663927309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616369385472).

3663927309120 is an abundant number, since it is smaller than the sum of its proper divisors (9568811461824).

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

3663927309120 is a wasteful number, since it uses less digits than its factorization.

3663927309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220350 (or 220340 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 51.

The spelling of 3663927309120 in words is "three trillion, six hundred sixty-three billion, nine hundred twenty-seven million, three hundred nine thousand, one hundred twenty".