3397116127944 has 512 divisors, whose sum is σ = 11278472970240. Its totient is φ = 827056742400.

The previous prime is 3397116127931. The next prime is 3397116127961. The reversal of 3397116127944 is 4497216117933.

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 127 ways as a sum of consecutive naturals, for example, 261169489 + ... + 261182495.

It is an arithmetic number, because the mean of its divisors is an integer number (22028267520).

Almost surely, 2^{3397116127944} 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 3397116127944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639236485120).

3397116127944 is an abundant number, since it is smaller than the sum of its proper divisors (7881356842296).

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

3397116127944 is a wasteful number, since it uses less digits than its factorization.

3397116127944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13209 (or 13205 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 57.

The spelling of 3397116127944 in words is "three trillion, three hundred ninety-seven billion, one hundred sixteen million, one hundred twenty-seven thousand, nine hundred forty-four".