3108961117080 has 1024 divisors, whose sum is σ = 12915973324800. Its totient is φ = 647719649280.

The previous prime is 3108961117051. The next prime is 3108961117081. The reversal of 3108961117080 is 807111698013.

3108961117080 is a `hidden beast` number, since 3 + 10 + 8 + 9 + 611 + 17 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3108961117081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3137195385 + ... + 3137196375.

It is an arithmetic number, because the mean of its divisors is an integer number (12613255200).

Almost surely, 2^{3108961117080} is an apocalyptic number.

3108961117080 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 3108961117080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457986662400).

3108961117080 is an abundant number, since it is smaller than the sum of its proper divisors (9807012207720).

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

3108961117080 is a wasteful number, since it uses less digits than its factorization.

3108961117080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 3108961117080 in words is "three trillion, one hundred eight billion, nine hundred sixty-one million, one hundred seventeen thousand, eighty".