3878758012032 has 576 divisors, whose sum is σ = 12118038192000. Its totient is φ = 1187525836800.

The previous prime is 3878758012027. The next prime is 3878758012069. The reversal of 3878758012032 is 2302108578783.

3878758012032 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 7 + 580 + 1 + 20 + 32 = 666.

3878758012032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 3878758012032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9971100094 + ... + 9971100482.

It is an arithmetic number, because the mean of its divisors is an integer number (21038260750).

Almost surely, 2^{3878758012032} is an apocalyptic number.

3878758012032 is a gapful number since it is divisible by the number (32) 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 3878758012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059019096000).

3878758012032 is an abundant number, since it is smaller than the sum of its proper divisors (8239280179968).

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

3878758012032 is a wasteful number, since it uses less digits than its factorization.

3878758012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 3878758012032 in words is "three trillion, eight hundred seventy-eight billion, seven hundred fifty-eight million, twelve thousand, thirty-two".