3493605984480 has 144 divisors (see below), whose sum is σ = 12363483538224. Its totient is φ = 931628252160.

The previous prime is 3493605984467. The next prime is 3493605984577. The reversal of 3493605984480 is 844895063943.

3493605984480 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 60 + 5 + 98 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44889181 + ... + 44966940.

It is an arithmetic number, because the mean of its divisors is an integer number (85857524571).

Almost surely, 2^{3493605984480} is an apocalyptic number.

3493605984480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3493605984480 is an abundant number, since it is smaller than the sum of its proper divisors (8869877553744).

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

3493605984480 is an equidigital number, since it uses as much as digits as its factorization.

3493605984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89856151 (or 89856131 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3493605984480 in words is "three trillion, four hundred ninety-three billion, six hundred five million, nine hundred eighty-four thousand, four hundred eighty".