3936105680 has 80 divisors (see below), whose sum is σ = 9974361600. Its totient is φ = 1435789824.

The previous prime is 3936105631. The next prime is 3936105689. The reversal of 3936105680 is 865016393.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936105689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63521 + ... + 109119.

It is an arithmetic number, because the mean of its divisors is an integer number (124679520).

Almost surely, 2^3936105680 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 3936105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987180800).

3936105680 is an abundant number, since it is smaller than the sum of its proper divisors (6038255920).

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

3936105680 is a wasteful number, since it uses less digits than its factorization.

3936105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45708 (or 45702 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 3936105680 is about 62738.3907986171. The cubic root of 3936105680 is about 1578.9034853129.

The spelling of 3936105680 in words is "three billion, nine hundred thirty-six million, one hundred five thousand, six hundred eighty".