3935117831680 has 160 divisors (see below), whose sum is σ = 10789232819904. Its totient is φ = 1348394090496.

The previous prime is 3935117831663. The next prime is 3935117831681. The reversal of 3935117831680 is 861387115393.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3935117831681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30992004 + ... + 31118716.

Almost surely, 2^{3935117831680} 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 3935117831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394616409952).

3935117831680 is an abundant number, since it is smaller than the sum of its proper divisors (6854114988224).

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

3935117831680 is a wasteful number, since it uses less digits than its factorization.

3935117831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128476 (or 128460 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 3935117831680 in words is "three trillion, nine hundred thirty-five billion, one hundred seventeen million, eight hundred thirty-one thousand, six hundred eighty".