3891280002288 has 320 divisors, whose sum is σ = 12703607488512. Its totient is φ = 1000080322560.

The previous prime is 3891280002287. The next prime is 3891280002349. The reversal of 3891280002288 is 8822000821983.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3891280002288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3891280002287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169594945 + ... + 169617887.

Almost surely, 2^{3891280002288} 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 3891280002288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351803744256).

3891280002288 is an abundant number, since it is smaller than the sum of its proper divisors (8812327486224).

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

3891280002288 is a wasteful number, since it uses less digits than its factorization.

3891280002288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24292 (or 24286 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 3891280002288 in words is "three trillion, eight hundred ninety-one billion, two hundred eighty million, two thousand, two hundred eighty-eight".