3547982480320 has 112 divisors (see below), whose sum is σ = 8818068264768. Its totient is φ = 1357165117440.

The previous prime is 3547982480303. The next prime is 3547982480333. The reversal of 3547982480320 is 230842897453.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 32012200 + ... + 32122840.

It is an arithmetic number, because the mean of its divisors is an integer number (78732752364).

Almost surely, 2^{3547982480320} 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 3547982480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409034132384).

3547982480320 is an abundant number, since it is smaller than the sum of its proper divisors (5270085784448).

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

3547982480320 is a wasteful number, since it uses less digits than its factorization.

3547982480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115038 (or 115028 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 3547982480320 in words is "three trillion, five hundred forty-seven billion, nine hundred eighty-two million, four hundred eighty thousand, three hundred twenty".