3918016872 has 384 divisors, whose sum is σ = 14030755200. Its totient is φ = 1001548800.

The previous prime is 3918016849. The next prime is 3918016889. The reversal of 3918016872 is 2786108193.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8498722 + ... + 8499182.

It is an arithmetic number, because the mean of its divisors is an integer number (36538425).

Almost surely, 2^3918016872 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 3918016872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015377600).

3918016872 is an abundant number, since it is smaller than the sum of its proper divisors (10112738328).

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

3918016872 is a wasteful number, since it uses less digits than its factorization.

3918016872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 3918016872 is about 62594.0641914231. The cubic root of 3918016872 is about 1576.4810956622.

The spelling of 3918016872 in words is "three billion, nine hundred eighteen million, sixteen thousand, eight hundred seventy-two".