3876067728 has 360 divisors, whose sum is σ = 12934984608. Its totient is φ = 1119246336.

The previous prime is 3876067691. The next prime is 3876067757. The reversal of 3876067728 is 8277606783.

3876067728 is a `hidden beast` number, since 3 + 8 + 7 + 606 + 7 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11170051 + ... + 11170397.

Almost surely, 2^3876067728 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 3876067728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467492304).

3876067728 is an abundant number, since it is smaller than the sum of its proper divisors (9058916880).

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

3876067728 is a wasteful number, since it uses less digits than its factorization.

3876067728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 3876067728 is about 62258.0735969240. The cubic root of 3876067728 is about 1570.8345770369.

The spelling of 3876067728 in words is "three billion, eight hundred seventy-six million, sixty-seven thousand, seven hundred twenty-eight".