3891071288832 has 1280 divisors, whose sum is σ = 13999317319680. Its totient is φ = 931627008000.

The previous prime is 3891071288831. The next prime is 3891071288833. The reversal of 3891071288832 is 2388821701983.

It is an interprime number because it is at equal distance from previous prime (3891071288831) and next prime (3891071288833).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3891071288831) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12431537508 + ... + 12431537820.

It is an arithmetic number, because the mean of its divisors is an integer number (10936966656).

Almost surely, 2^{3891071288832} is an apocalyptic number.

3891071288832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3891071288832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999658659840).

3891071288832 is an abundant number, since it is smaller than the sum of its proper divisors (10108246030848).

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

3891071288832 is a wasteful number, since it uses less digits than its factorization.

3891071288832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 3891071288832 in words is "three trillion, eight hundred ninety-one billion, seventy-one million, two hundred eighty-eight thousand, eight hundred thirty-two".