3668448000000 has 1344 divisors, whose sum is σ = 14373266019840. Its totient is φ = 814694400000.

The previous prime is 3668447999981. The next prime is 3668448000047. The reversal of 3668448000000 is 8448663.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35615999949 + ... + 35616000051.

It is an arithmetic number, because the mean of its divisors is an integer number (10694394360).

Almost surely, 2^{3668448000000} is an apocalyptic number.

3668448000000 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 3668448000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186633009920).

3668448000000 is an abundant number, since it is smaller than the sum of its proper divisors (10704818019840).

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

3668448000000 is an frugal number, since it uses more digits than its factorization.

3668448000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 3668448000000 in words is "three trillion, six hundred sixty-eight billion, four hundred forty-eight million", and thus it is an aban number.