3180105347796 has 192 divisors, whose sum is σ = 8906421888000. Its totient is φ = 975468137472.

The previous prime is 3180105347791. The next prime is 3180105347807. The reversal of 3180105347796 is 6977435010813.

3180105347796 is a `hidden beast` number, since 3 + 1 + 8 + 0 + 10 + 534 + 7 + 7 + 96 = 666.

It is a super-2 number, since 2×3180105347796² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3180105347791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1250531701 + ... + 1250534243.

It is an arithmetic number, because the mean of its divisors is an integer number (46387614000).

Almost surely, 2^{3180105347796} is an apocalyptic number.

3180105347796 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 3180105347796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453210944000).

3180105347796 is an abundant number, since it is smaller than the sum of its proper divisors (5726316540204).

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

3180105347796 is a wasteful number, since it uses less digits than its factorization.

3180105347796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 3180105347796 in words is "three trillion, one hundred eighty billion, one hundred five million, three hundred forty-seven thousand, seven hundred ninety-six".