3880348676160 has 448 divisors, whose sum is σ = 14236884082944. Its totient is φ = 884971929600.

The previous prime is 3880348676159. The next prime is 3880348676179. The reversal of 3880348676160 is 616768430883.

3880348676160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3880348676094 and 3880348676103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734772720 + ... + 734778000.

Almost surely, 2^{3880348676160} is an apocalyptic number.

3880348676160 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 3880348676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118442041472).

3880348676160 is an abundant number, since it is smaller than the sum of its proper divisors (10356535406784).

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

3880348676160 is a wasteful number, since it uses less digits than its factorization.

3880348676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9422 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 3880348676160 in words is "three trillion, eight hundred eighty billion, three hundred forty-eight million, six hundred seventy-six thousand, one hundred sixty".