3549313040000 has 1440 divisors, whose sum is σ = 11807225212860. Its totient is φ = 1052835840000.

The previous prime is 3549313039903. The next prime is 3549313040027. The reversal of 3549313040000 is 403139453.

3549313040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 30 ways, for example, as 1957335306304 + 1591977733696 = 1399048^2 + 1261736^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 14727439880 + ... + 14727440120.

Almost surely, 2^{3549313040000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3549313040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903612606430).

3549313040000 is an abundant number, since it is smaller than the sum of its proper divisors (8257912172860).

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

3549313040000 is a wasteful number, since it uses less digits than its factorization.

3549313040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 3549313040000 its reverse (403139453), we get a palindrome (3549716179453).

The spelling of 3549313040000 in words is "three trillion, five hundred forty-nine billion, three hundred thirteen million, forty thousand".