3273390144000 has 800 divisors, whose sum is σ = 12491425778832. Its totient is φ = 851558400000.

The previous prime is 3273390143983. The next prime is 3273390144047. The reversal of 3273390144000 is 4410933723.

It can be written as a sum of positive squares in 8 ways, for example, as 200689664256 + 3072700479744 = 447984^2 + 1752912^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 212536300 + ... + 212551700.

Almost surely, 2^{3273390144000} is an apocalyptic number.

3273390144000 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 3273390144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245712889416).

3273390144000 is an abundant number, since it is smaller than the sum of its proper divisors (9218035634832).

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

3273390144000 is an equidigital number, since it uses as much as digits as its factorization.

3273390144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15487 (or 15452 counting only the distinct ones).

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

The spelling of 3273390144000 in words is "three trillion, two hundred seventy-three billion, three hundred ninety million, one hundred forty-four thousand".