3867350383314 has 128 divisors (see below), whose sum is σ = 9470593440000. Its totient is φ = 1160045452800.

The previous prime is 3867350383313. The next prime is 3867350383319. The reversal of 3867350383314 is 4133830537683.

3867350383314 is a `hidden beast` number, since 38 + 6 + 73 + 503 + 8 + 3 + 31 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3867350383313) 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, 67890084 + ... + 67947024.

It is an arithmetic number, because the mean of its divisors is an integer number (73989011250).

Almost surely, 2^{3867350383314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3867350383314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735296720000).

3867350383314 is an abundant number, since it is smaller than the sum of its proper divisors (5603243056686).

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

3867350383314 is a wasteful number, since it uses less digits than its factorization.

3867350383314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58121 (or 58115 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3867350383314 in words is "three trillion, eight hundred sixty-seven billion, three hundred fifty million, three hundred eighty-three thousand, three hundred fourteen".