3979688348100 has 72 divisors (see below), whose sum is σ = 11515338783648. Its totient is φ = 1061178905600.

The previous prime is 3979688348023. The next prime is 3979688348123. The reversal of 3979688348100 is 18438869793.

It is a super-2 number, since 2×3979688348100² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4102915 + ... + 4979285.

It is an arithmetic number, because the mean of its divisors is an integer number (159935260884).

Almost surely, 2^{3979688348100} is an apocalyptic number.

3979688348100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3979688348100 is an abundant number, since it is smaller than the sum of its proper divisors (7535650435548).

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

3979688348100 is a wasteful number, since it uses less digits than its factorization.

3979688348100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891525 (or 891518 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 3979688348100 in words is "three trillion, nine hundred seventy-nine billion, six hundred eighty-eight million, three hundred forty-eight thousand, one hundred".