3197659742928 has 480 divisors, whose sum is σ = 10784109772800. Its totient is φ = 865338163200.

The previous prime is 3197659742911. The next prime is 3197659742947. The reversal of 3197659742928 is 8292479567913.

3197659742928 is a `hidden beast` number, since 3 + 1 + 9 + 7 + 6 + 597 + 4 + 2 + 9 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 308381328 + ... + 308391696.

It is an arithmetic number, because the mean of its divisors is an integer number (22466895360).

Almost surely, 2^{3197659742928} 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 3197659742928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392054886400).

3197659742928 is an abundant number, since it is smaller than the sum of its proper divisors (7586450029872).

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

3197659742928 is a wasteful number, since it uses less digits than its factorization.

3197659742928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631 (or 10622 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 3197659742928 in words is "three trillion, one hundred ninety-seven billion, six hundred fifty-nine million, seven hundred forty-two thousand, nine hundred twenty-eight".