3878316288 has 540 divisors, whose sum is σ = 14717756592. Its totient is φ = 1004451840.

The previous prime is 3878316251. The next prime is 3878316289. The reversal of 3878316288 is 8826138783.

3878316288 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 3 + 1 + 628 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3878316289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11176531 + ... + 11176877.

Almost surely, 2^3878316288 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 3878316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358878296).

3878316288 is an abundant number, since it is smaller than the sum of its proper divisors (10839440304).

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

3878316288 is a wasteful number, since it uses less digits than its factorization.

3878316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 370 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 3878316288 is about 62276.1293594905. The cubic root of 3878316288 is about 1571.1382725392.

The spelling of 3878316288 in words is "three billion, eight hundred seventy-eight million, three hundred sixteen thousand, two hundred eighty-eight".