3878626752 has 756 divisors, whose sum is σ = 15699306168. Its totient is φ = 899942400.

The previous prime is 3878626747. The next prime is 3878626777. The reversal of 3878626752 is 2576268783.

3878626752 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 626 + 7 + 5 + 2 = 666.

3878626752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 125116977 + ... + 125117007.

It is an arithmetic number, because the mean of its divisors is an integer number (20766278).

Almost surely, 2^3878626752 is an apocalyptic number.

3878626752 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 3878626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849653084).

3878626752 is an abundant number, since it is smaller than the sum of its proper divisors (11820679416).

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

3878626752 is a wasteful number, since it uses less digits than its factorization.

3878626752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 67 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 3878626752 is about 62278.6219500721. The cubic root of 3878626752 is about 1571.1801952725.

The spelling of 3878626752 in words is "three billion, eight hundred seventy-eight million, six hundred twenty-six thousand, seven hundred fifty-two".