3197906789616 has 1600 divisors, whose sum is σ = 12854217277440. Its totient is φ = 742390272000.

The previous prime is 3197906789611. The next prime is 3197906789689. The reversal of 3197906789616 is 6169876097913.

It is a super-2 number, since 2×3197906789616² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3197906789611) 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 319 ways as a sum of consecutive naturals, for example, 2409876345 + ... + 2409877671.

Almost surely, 2^{3197906789616} is an apocalyptic number.

3197906789616 is a gapful number since it is divisible by the number (36) 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 3197906789616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427108638720).

3197906789616 is an abundant number, since it is smaller than the sum of its proper divisors (9656310487824).

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

3197906789616 is a wasteful number, since it uses less digits than its factorization.

3197906789616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 3197906789616 in words is "three trillion, one hundred ninety-seven billion, nine hundred six million, seven hundred eighty-nine thousand, six hundred sixteen".