3427367196288 has 768 divisors, whose sum is σ = 11364704870400. Its totient is φ = 910349991936.

The previous prime is 3427367196283. The next prime is 3427367196299. The reversal of 3427367196288 is 8826917637243.

It is not an unprimeable number, because it can be changed into a prime (3427367196283) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3396795528 + ... + 3396796536.

It is an arithmetic number, because the mean of its divisors is an integer number (14797792800).

Almost surely, 2^{3427367196288} 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 3427367196288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682352435200).

3427367196288 is an abundant number, since it is smaller than the sum of its proper divisors (7937337674112).

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

3427367196288 is a wasteful number, since it uses less digits than its factorization.

3427367196288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1258 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 3427367196288 in words is "three trillion, four hundred twenty-seven billion, three hundred sixty-seven million, one hundred ninety-six thousand, two hundred eighty-eight".