3493331470080 has 288 divisors, whose sum is σ = 12935454981120. Its totient is φ = 891052462080.

The previous prime is 3493331470073. The next prime is 3493331470093. The reversal of 3493331470080 is 800741333943.

It is a happy number.

3493331470080 is a `hidden beast` number, since 3 + 49 + 33 + 31 + 470 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402516 + ... + 2992275.

It is an arithmetic number, because the mean of its divisors is an integer number (44914774240).

Almost surely, 2^{3493331470080} is an apocalyptic number.

3493331470080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3493331470080 is an abundant number, since it is smaller than the sum of its proper divisors (9442123511040).

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

3493331470080 is a wasteful number, since it uses less digits than its factorization.

3493331470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394844 (or 4394824 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3493331470080 in words is "three trillion, four hundred ninety-three billion, three hundred thirty-one million, four hundred seventy thousand, eighty".