3867118340328 has 192 divisors, whose sum is σ = 10878532853760. Its totient is φ = 1240195701888.

The previous prime is 3867118340257. The next prime is 3867118340333. The reversal of 3867118340328 is 8230438117683.

It is a happy number.

3867118340328 is a `hidden beast` number, since 38 + 6 + 7 + 1 + 183 + 403 + 28 = 666.

It is a super-2 number, since 2×3867118340328² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110399025 + ... + 110434047.

It is an arithmetic number, because the mean of its divisors is an integer number (56659025280).

Almost surely, 2^{3867118340328} 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 3867118340328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439266426880).

3867118340328 is an abundant number, since it is smaller than the sum of its proper divisors (7011414513432).

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

3867118340328 is a wasteful number, since it uses less digits than its factorization.

3867118340328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35636 (or 35629 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3867118340328 in words is "three trillion, eight hundred sixty-seven billion, one hundred eighteen million, three hundred forty thousand, three hundred twenty-eight".