3665359948800 has 1056 divisors, whose sum is σ = 13681126137600. Its totient is φ = 857663078400.

The previous prime is 3665359948741. The next prime is 3665359948843. The reversal of 3665359948800 is 88499535663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 4657382007 + ... + 4657382793.

Almost surely, 2^{3665359948800} is an apocalyptic number.

3665359948800 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 3665359948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840563068800).

3665359948800 is an abundant number, since it is smaller than the sum of its proper divisors (10015766188800).

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

3665359948800 is a wasteful number, since it uses less digits than its factorization.

3665359948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 66.

The spelling of 3665359948800 in words is "three trillion, six hundred sixty-five billion, three hundred fifty-nine million, nine hundred forty-eight thousand, eight hundred".