3447879966720 has 2016 divisors, whose sum is σ = 14922051610752. Its totient is φ = 732476473344.

The previous prime is 3447879966667. The next prime is 3447879966731. The reversal of 3447879966720 is 276699787443.

It is a happy number.

3447879966720 is a `hidden beast` number, since 3 + 4 + 478 + 7 + 9 + 96 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 17864662944 + ... + 17864663136.

Almost surely, 2^{3447879966720} is an apocalyptic number.

3447879966720 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 3447879966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461025805376).

3447879966720 is an abundant number, since it is smaller than the sum of its proper divisors (11474171644032).

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

3447879966720 is a wasteful number, since it uses less digits than its factorization.

3447879966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 3447879966720 in words is "three trillion, four hundred forty-seven billion, eight hundred seventy-nine million, nine hundred sixty-six thousand, seven hundred twenty".