3480703111368 has 384 divisors, whose sum is σ = 11431839744000. Its totient is φ = 935565396480.

The previous prime is 3480703111363. The next prime is 3480703111411. The reversal of 3480703111368 is 8631113070843.

3480703111368 is a `hidden beast` number, since 3 + 480 + 7 + 0 + 31 + 1 + 136 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3480703111363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935922613 + ... + 935926331.

It is an arithmetic number, because the mean of its divisors is an integer number (29770416000).

Almost surely, 2^{3480703111368} 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 3480703111368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715919872000).

3480703111368 is an abundant number, since it is smaller than the sum of its proper divisors (7951136632632).

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

3480703111368 is a wasteful number, since it uses less digits than its factorization.

3480703111368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3480703111368 in words is "three trillion, four hundred eighty billion, seven hundred three million, one hundred eleven thousand, three hundred sixty-eight".