3940683305160 has 256 divisors, whose sum is σ = 13576020480000. Its totient is φ = 896390820864.

The previous prime is 3940683305107. The next prime is 3940683305179. The reversal of 3940683305160 is 615033860493.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719231301 + ... + 719236779.

It is an arithmetic number, because the mean of its divisors is an integer number (53031330000).

Almost surely, 2^{3940683305160} is an apocalyptic number.

3940683305160 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 3940683305160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788010240000).

3940683305160 is an abundant number, since it is smaller than the sum of its proper divisors (9635337174840).

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

3940683305160 is a wasteful number, since it uses less digits than its factorization.

3940683305160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 3940683305160 in words is "three trillion, nine hundred forty billion, six hundred eighty-three million, three hundred five thousand, one hundred sixty".