3868971348480 has 640 divisors, whose sum is σ = 14682740244480. Its totient is φ = 850354176000.

The previous prime is 3868971348443. The next prime is 3868971348491. The reversal of 3868971348480 is 848431798683.

It is a tau number, because it is divible by the number of its divisors (640).

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, 391314097 + ... + 391323983.

It is an arithmetic number, because the mean of its divisors is an integer number (22941781632).

Almost surely, 2^{3868971348480} is an apocalyptic number.

3868971348480 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 3868971348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341370122240).

3868971348480 is an abundant number, since it is smaller than the sum of its proper divisors (10813768896000).

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

3868971348480 is a wasteful number, since it uses less digits than its factorization.

3868971348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 69.

The spelling of 3868971348480 in words is "three trillion, eight hundred sixty-eight billion, nine hundred seventy-one million, three hundred forty-eight thousand, four hundred eighty".