3977129184 has 96 divisors (see below), whose sum is σ = 12099580416. Its totient is φ = 1120304640.

The previous prime is 3977129173. The next prime is 3977129197. The reversal of 3977129184 is 4819217793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6034 + ... + 89390.

It is an arithmetic number, because the mean of its divisors is an integer number (126037296).

Almost surely, 2^3977129184 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 3977129184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049790208).

3977129184 is an abundant number, since it is smaller than the sum of its proper divisors (8122451232).

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

3977129184 is a wasteful number, since it uses less digits than its factorization.

3977129184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83448 (or 83440 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 3977129184 is about 63064.4843315158. The cubic root of 3977129184 is about 1584.3698376297.

The spelling of 3977129184 in words is "three billion, nine hundred seventy-seven million, one hundred twenty-nine thousand, one hundred eighty-four".