3531540480000 has 1200 divisors, whose sum is σ = 13069849309440. Its totient is φ = 842268672000.

The previous prime is 3531540479983. The next prime is 3531540480047. The reversal of 3531540480000 is 840451353.

It is a tau number, because it is divible by the number of its divisors (1200).

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 79 ways as a sum of consecutive naturals, for example, 14776319881 + ... + 14776320119.

Almost surely, 2^{3531540480000} is an apocalyptic number.

3531540480000 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 3531540480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534924654720).

3531540480000 is an abundant number, since it is smaller than the sum of its proper divisors (9538308829440).

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

3531540480000 is an equidigital number, since it uses as much as digits as its factorization.

3531540480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 3531540480000 in words is "three trillion, five hundred thirty-one billion, five hundred forty million, four hundred eighty thousand".