3290143968000 has 2304 divisors, whose sum is σ = 13468815360000. Its totient is φ = 788001177600.

The previous prime is 3290143967989. The next prime is 3290143968047. The reversal of 3290143968000 is 8693410923.

It is a happy number.

3290143968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41647391961 + ... + 41647392039.

It is an arithmetic number, because the mean of its divisors is an integer number (5845840000).

Almost surely, 2^{3290143968000} is an apocalyptic number.

3290143968000 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 3290143968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734407680000).

3290143968000 is an abundant number, since it is smaller than the sum of its proper divisors (10178671392000).

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

3290143968000 is a wasteful number, since it uses less digits than its factorization.

3290143968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 3290143968000 in words is "three trillion, two hundred ninety billion, one hundred forty-three million, nine hundred sixty-eight thousand".