3873871008 has 252 divisors, whose sum is σ = 13305624570. Its totient is φ = 1106493696.

The previous prime is 3873871007. The next prime is 3873871061. The reversal of 3873871008 is 8001783783.

It can be written as a sum of positive squares in only one way, i.e., 2268426384 + 1605444624 = 47628^2 + 40068^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (3873871003) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1141378 + ... + 1144766.

Almost surely, 2^3873871008 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 3873871008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652812285).

3873871008 is an abundant number, since it is smaller than the sum of its proper divisors (9431753562).

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

3873871008 is an equidigital number, since it uses as much as digits as its factorization.

3873871008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 3873871008 is about 62240.4290473644. The cubic root of 3873871008 is about 1570.5377697175.

It can be divided in two parts, 38738 and 71008, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 3873871008 in words is "three billion, eight hundred seventy-three million, eight hundred seventy-one thousand, eight".