3892131729288 has 144 divisors (see below), whose sum is σ = 11619805879500. Its totient is φ = 1176053472000.

The previous prime is 3892131729281. The next prime is 3892131729329. The reversal of 3892131729288 is 8829271312983.

3892131729288 is a `hidden beast` number, since 3 + 8 + 9 + 21 + 317 + 292 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3890921941764 + 1209787524 = 1972542^2 + 34782^2 .

It is not an unprimeable number, because it can be changed into a prime (3892131729281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2400438 + ... + 3680538.

Almost surely, 2^{3892131729288} 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 3892131729288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809902939750).

3892131729288 is an abundant number, since it is smaller than the sum of its proper divisors (7727674150212).

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

3892131729288 is a wasteful number, since it uses less digits than its factorization.

3892131729288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280484 (or 1280466 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 3892131729288 in words is "three trillion, eight hundred ninety-two billion, one hundred thirty-one million, seven hundred twenty-nine thousand, two hundred eighty-eight".