3875667988667 has 16 divisors (see below), whose sum is σ = 3914945395200. Its totient is φ = 3836597375520.

The previous prime is 3875667988639. The next prime is 3875667988741. The reversal of 3875667988667 is 7668897665783.

It is a cyclic number.

It is not a de Polignac number, because 3875667988667 - 2¹⁶ = 3875667923131 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3875667988267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142489913 + ... + 142517109.

It is an arithmetic number, because the mean of its divisors is an integer number (244684087200).

Almost surely, 2^{3875667988667} is an apocalyptic number.

3875667988667 is a deficient number, since it is larger than the sum of its proper divisors (39277406533).

3875667988667 is a wasteful number, since it uses less digits than its factorization.

3875667988667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30946.

The product of its digits is 30725775360, while the sum is 86.

The spelling of 3875667988667 in words is "three trillion, eight hundred seventy-five billion, six hundred sixty-seven million, nine hundred eighty-eight thousand, six hundred sixty-seven".