3781221873 has 32 divisors (see below), whose sum is σ = 6180572160. Its totient is φ = 2023391040.

The previous prime is 3781221841. The next prime is 3781221883.

3781221873 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3781221873 - 2⁵ = 3781221841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3781221803) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181743 + ... + 201476.

It is an arithmetic number, because the mean of its divisors is an integer number (193142880).

Almost surely, 2^3781221873 is an apocalyptic number.

3781221873 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3781221873 is a deficient number, since it is larger than the sum of its proper divisors (2399350287).

3781221873 is a wasteful number, since it uses less digits than its factorization.

3781221873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383269.

The product of its digits is 112896, while the sum is 42.

The square root of 3781221873 is about 61491.6406757862. The cubic root of 3781221873 is about 1557.9160581968.

It can be divided in two parts, 37812 and 21873, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 3781221873 in words is "three billion, seven hundred eighty-one million, two hundred twenty-one thousand, eight hundred seventy-three".