3871749168 has 240 divisors, whose sum is σ = 13486636800. Its totient is φ = 1011709440.

The previous prime is 3871749143. The next prime is 3871749179. The reversal of 3871749168 is 8619471783.

3871749168 is a `hidden beast` number, since 3 + 87 + 17 + 491 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551923 + ... + 558893.

It is an arithmetic number, because the mean of its divisors is an integer number (56194320).

Almost surely, 2^3871749168 is an apocalyptic number.

3871749168 is a gapful number since it is divisible by the number (38) 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 3871749168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743318400).

3871749168 is an abundant number, since it is smaller than the sum of its proper divisors (9614887632).

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

3871749168 is a wasteful number, since it uses less digits than its factorization.

3871749168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7031 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 3871749168 is about 62223.3812003173. The cubic root of 3871749168 is about 1570.2509731717.

The spelling of 3871749168 in words is "three billion, eight hundred seventy-one million, seven hundred forty-nine thousand, one hundred sixty-eight".