3197428809120 has 288 divisors, whose sum is σ = 13429201548672. Its totient is φ = 674622314496.

The previous prime is 3197428809119. The next prime is 3197428809187. The reversal of 3197428809120 is 219088247913.

3197428809120 is a `hidden beast` number, since 3 + 1 + 97 + 428 + 8 + 0 + 9 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12069162 + ... + 12331241.

It is an arithmetic number, because the mean of its divisors is an integer number (46629172044).

Almost surely, 2^{3197428809120} is an apocalyptic number.

3197428809120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3197428809120 is an abundant number, since it is smaller than the sum of its proper divisors (10231772739552).

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

3197428809120 is a wasteful number, since it uses less digits than its factorization.

3197428809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24400444 (or 24400433 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 3197428809120 in words is "three trillion, one hundred ninety-seven billion, four hundred twenty-eight million, eight hundred nine thousand, one hundred twenty".