3197457745920 has 768 divisors, whose sum is σ = 12200715072000. Its totient is φ = 791421124608.

The previous prime is 3197457745919. The next prime is 3197457745921. The reversal of 3197457745920 is 295477547913.

3197457745920 is a `hidden beast` number, since 3 + 1 + 9 + 7 + 4 + 577 + 4 + 59 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3197457745919) and next prime (3197457745921).

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (3197457745921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 343107021 + ... + 343116339.

It is an arithmetic number, because the mean of its divisors is an integer number (15886347750).

Almost surely, 2^{3197457745920} is an apocalyptic number.

3197457745920 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 3197457745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100357536000).

3197457745920 is an abundant number, since it is smaller than the sum of its proper divisors (9003257326080).

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

3197457745920 is a wasteful number, since it uses less digits than its factorization.

3197457745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9445 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 3197457745920 in words is "three trillion, one hundred ninety-seven billion, four hundred fifty-seven million, seven hundred forty-five thousand, nine hundred twenty".