3867533145344 has 72 divisors (see below), whose sum is σ = 8427143581920. Its totient is φ = 1756848588800.

The previous prime is 3867533145331. The next prime is 3867533145379. The reversal of 3867533145344 is 4435413357683.

It is a self number, because there is not a number n which added to its sum of digits gives 3867533145344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3986822 + ... + 4861050.

It is an arithmetic number, because the mean of its divisors is an integer number (117043660860).

Almost surely, 2^{3867533145344} 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 3867533145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213571790960).

3867533145344 is an abundant number, since it is smaller than the sum of its proper divisors (4559610436576).

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

3867533145344 is a wasteful number, since it uses less digits than its factorization.

3867533145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875827 (or 875813 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 56.

The spelling of 3867533145344 in words is "three trillion, eight hundred sixty-seven billion, five hundred thirty-three million, one hundred forty-five thousand, three hundred forty-four".