3878562743328 has 192 divisors, whose sum is σ = 12607621512192. Its totient is φ = 1016641704960.

The previous prime is 3878562743311. The next prime is 3878562743329. The reversal of 3878562743328 is 8233472658783.

It is not an unprimeable number, because it can be changed into a prime (3878562743329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62083 + ... + 2785853.

It is an arithmetic number, because the mean of its divisors is an integer number (65664695376).

Almost surely, 2^{3878562743328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3878562743328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303810756096).

3878562743328 is an abundant number, since it is smaller than the sum of its proper divisors (8729058768864).

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

3878562743328 is a wasteful number, since it uses less digits than its factorization.

3878562743328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723967 (or 2723959 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 66.

The spelling of 3878562743328 in words is "three trillion, eight hundred seventy-eight billion, five hundred sixty-two million, seven hundred forty-three thousand, three hundred twenty-eight".