3116325656340 has 144 divisors (see below), whose sum is σ = 10182041080848. Its totient is φ = 766941530112.

The previous prime is 3116325656321. The next prime is 3116325656357. The reversal of 3116325656340 is 436565236113.

3116325656340 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 3 + 2 + 5 + 6 + 5 + 634 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 493908161796 + 2622417494544 = 702786^2 + 1619388^2 .

It is a super-2 number, since 2×3116325656340² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11749024 + ... + 12011336.

It is an arithmetic number, because the mean of its divisors is an integer number (70708618617).

Almost surely, 2^{3116325656340} is an apocalyptic number.

3116325656340 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 3116325656340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091020540424).

3116325656340 is an abundant number, since it is smaller than the sum of its proper divisors (7065715424508).

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

3116325656340 is a wasteful number, since it uses less digits than its factorization.

3116325656340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267418 (or 267413 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3116325656340 in words is "three trillion, one hundred sixteen billion, three hundred twenty-five million, six hundred fifty-six thousand, three hundred forty".