3847456872 has 288 divisors, whose sum is σ = 12656517120. Its totient is φ = 1051626240.

The previous prime is 3847456871. The next prime is 3847456909. The reversal of 3847456872 is 2786547483.

3847456872 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 4 + 568 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (3847456871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13889598 + ... + 13889874.

It is an arithmetic number, because the mean of its divisors is an integer number (43946240).

Almost surely, 2^3847456872 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 3847456872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328258560).

3847456872 is an abundant number, since it is smaller than the sum of its proper divisors (8809060248).

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

3847456872 is a wasteful number, since it uses less digits than its factorization.

3847456872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 3847456872 is about 62027.8717352127. The cubic root of 3847456872 is about 1566.9600353184.

The spelling of 3847456872 in words is "three billion, eight hundred forty-seven million, four hundred fifty-six thousand, eight hundred seventy-two".