3447130411008 has 728 divisors, whose sum is σ = 10887920627976. Its totient is φ = 1089286963200.

The previous prime is 3447130410943. The next prime is 3447130411031. The reversal of 3447130411008 is 8001140317443.

3447130411008 is a `hidden beast` number, since 344 + 7 + 1 + 304 + 1 + 1 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2869530624 + 3444260880384 = 53568^2 + 1855872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 4529737348 + ... + 4529738108.

Almost surely, 2^{3447130411008} 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 3447130411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443960313988).

3447130411008 is an abundant number, since it is smaller than the sum of its proper divisors (7440790216968).

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

3447130411008 is an frugal number, since it uses more digits than its factorization.

3447130411008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 3447130411008 in words is "three trillion, four hundred forty-seven billion, one hundred thirty million, four hundred eleven thousand, eight".