3935839068100 has 72 divisors (see below), whose sum is σ = 8574013728000. Its totient is φ = 1568211112320.

The previous prime is 3935839068059. The next prime is 3935839068107. The reversal of 3935839068100 is 18609385393.

It is a happy number.

It is a super-2 number, since 2×3935839068100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3935839068107) 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 23 ways as a sum of consecutive naturals, for example, 109313901 + ... + 109349899.

It is an arithmetic number, because the mean of its divisors is an integer number (119083524000).

Almost surely, 2^{3935839068100} is an apocalyptic number.

It is an amenable number.

3935839068100 is an abundant number, since it is smaller than the sum of its proper divisors (4638174659900).

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

3935839068100 is a wasteful number, since it uses less digits than its factorization.

3935839068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40237 (or 40230 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 3935839068100 in words is "three trillion, nine hundred thirty-five billion, eight hundred thirty-nine million, sixty-eight thousand, one hundred".