3842889313032 has 256 divisors, whose sum is σ = 13496158310400. Its totient is φ = 984094272000.

The previous prime is 3842889313009. The next prime is 3842889313033. The reversal of 3842889313032 is 2303139882483.

3842889313032 is a `hidden beast` number, since 3 + 8 + 428 + 89 + 3 + 130 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3842889313032.

It is not an unprimeable number, because it can be changed into a prime (3842889313033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446269 + ... + 2808012.

It is an arithmetic number, because the mean of its divisors is an integer number (52719368400).

Almost surely, 2^{3842889313032} 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 3842889313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748079155200).

3842889313032 is an abundant number, since it is smaller than the sum of its proper divisors (9653268997368).

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

3842889313032 is a wasteful number, since it uses less digits than its factorization.

3842889313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254385 (or 3254375 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3842889313032 in words is "three trillion, eight hundred forty-two billion, eight hundred eighty-nine million, three hundred thirteen thousand, thirty-two".