3811668295680 has 1792 divisors, whose sum is σ = 16173425640960. Its totient is φ = 843910742016.

The previous prime is 3811668295679. The next prime is 3811668295801. The reversal of 3811668295680 is 865928661183.

3811668295680 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 6 + 68 + 2 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39295549392 + ... + 39295549488.

It is an arithmetic number, because the mean of its divisors is an integer number (9025349130).

Almost surely, 2^{3811668295680} is an apocalyptic number.

3811668295680 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 3811668295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086712820480).

3811668295680 is an abundant number, since it is smaller than the sum of its proper divisors (12361757345280).

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

3811668295680 is an frugal number, since it uses more digits than its factorization.

3811668295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 3811668295680 in words is "three trillion, eight hundred eleven billion, six hundred sixty-eight million, two hundred ninety-five thousand, six hundred eighty".