3867442151328 has 576 divisors, whose sum is σ = 13450125911040. Its totient is φ = 1029519507456.

The previous prime is 3867442151327. The next prime is 3867442151333. The reversal of 3867442151328 is 8231512447683.

3867442151328 is a `hidden beast` number, since 3 + 8 + 67 + 4 + 42 + 1 + 513 + 28 = 666.

It is a super-5 number, since 5×3867442151328⁵ (a number of 64 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (3867442151327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2959021651 + ... + 2959022957.

It is an arithmetic number, because the mean of its divisors is an integer number (23350913040).

Almost surely, 2^{3867442151328} is an apocalyptic number.

3867442151328 is a gapful number since it is divisible by the number (38) 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 3867442151328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725062955520).

3867442151328 is an abundant number, since it is smaller than the sum of its proper divisors (9582683759712).

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

3867442151328 is a wasteful number, since it uses less digits than its factorization.

3867442151328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2558 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 3867442151328 in words is "three trillion, eight hundred sixty-seven billion, four hundred forty-two million, one hundred fifty-one thousand, three hundred twenty-eight".