3116917745280 has 384 divisors, whose sum is σ = 10925016261120. Its totient is φ = 818705055744.

The previous prime is 3116917745177. The next prime is 3116917745281. The reversal of 3116917745280 is 825477196113.

3116917745280 is a `hidden beast` number, since 3 + 1 + 16 + 9 + 177 + 452 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3116917745281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346050537 + ... + 346059543.

It is an arithmetic number, because the mean of its divisors is an integer number (28450563180).

It is a 1-persistent number, because it is pandigital, but 2⋅3116917745280 = 6233835490560 is not.

Almost surely, 2^{3116917745280} is an apocalyptic number.

3116917745280 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 3116917745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462508130560).

3116917745280 is an abundant number, since it is smaller than the sum of its proper divisors (7808098515840).

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

3116917745280 is a wasteful number, since it uses less digits than its factorization.

3116917745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9928 (or 9913 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 3116917745280 in words is "three trillion, one hundred sixteen billion, nine hundred seventeen million, seven hundred forty-five thousand, two hundred eighty".