3847660508160 has 1320 divisors, whose sum is σ = 15778079160480. Its totient is φ = 866795618304.

The previous prime is 3847660508129. The next prime is 3847660508161. The reversal of 3847660508160 is 618050667483.

3847660508160 is a `hidden beast` number, since 3 + 8 + 4 + 76 + 6 + 0 + 508 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3847660508097 and 3847660508106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3847660508161) 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 119 ways as a sum of consecutive naturals, for example, 9182960431 + ... + 9182960849.

Almost surely, 2^{3847660508160} is an apocalyptic number.

3847660508160 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 3847660508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889039580240).

3847660508160 is an abundant number, since it is smaller than the sum of its proper divisors (11930418652320).

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

3847660508160 is an equidigital number, since it uses as much as digits as its factorization.

3847660508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3847660508160 in words is "three trillion, eight hundred forty-seven billion, six hundred sixty million, five hundred eight thousand, one hundred sixty".