3143877984 has 288 divisors, whose sum is σ = 9955056384. Its totient is φ = 935193600.

The previous prime is 3143877967. The next prime is 3143878019. The reversal of 3143877984 is 4897783413.

3143877984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3143877984.

It is a congruent number.

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, 20820309 + ... + 20820459.

It is an arithmetic number, because the mean of its divisors is an integer number (34566168).

Almost surely, 2^3143877984 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 3143877984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977528192).

3143877984 is an abundant number, since it is smaller than the sum of its proper divisors (6811178400).

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

3143877984 is a wasteful number, since it uses less digits than its factorization.

3143877984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3143877984 is about 56070.2950233009. The cubic root of 3143877984 is about 1464.9469373164.

The spelling of 3143877984 in words is "three billion, one hundred forty-three million, eight hundred seventy-seven thousand, nine hundred eighty-four".