3766886673 has 32 divisors (see below), whose sum is σ = 5806028160. Its totient is φ = 2146959360.

The previous prime is 3766886659. The next prime is 3766886687.

3766886673 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3766886659) and next prime (3766886687).

It is not a de Polignac number, because 3766886673 - 2⁴ = 3766886657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3766886633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129873 + ... + 1133201.

It is an arithmetic number, because the mean of its divisors is an integer number (181438380).

Almost surely, 2^3766886673 is an apocalyptic number.

3766886673 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3766886673 is a deficient number, since it is larger than the sum of its proper divisors (2039141487).

3766886673 is a wasteful number, since it uses less digits than its factorization.

3766886673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377.

The product of its digits is 36578304, while the sum is 60.

The square root of 3766886673 is about 61374.9678044722. The cubic root of 3766886673 is about 1555.9447976453.

The spelling of 3766886673 in words is "three billion, seven hundred sixty-six million, eight hundred eighty-six thousand, six hundred seventy-three".