3878673841 has 45 divisors (see below), whose sum is σ = 4792340139. Its totient is φ = 3138861600.

The previous prime is 3878673829. The next prime is 3878673847. The reversal of 3878673841 is 1483768783.

The square root of 3878673841 is 62279.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 186896241 + 3691777600 = 13671^2 + 60760^2 .

It is not a de Polignac number, because 3878673841 - 2⁷ = 3878673713 is a prime.

It is a super-2 number, since 2×3878673841² = 30088221529715386562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3878673847) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 94601781 + ... + 94601821.

Almost surely, 2^3878673841 is an apocalyptic number.

3878673841 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3878673841 is the 62279-th square number.

3878673841 is the 31140-th centered octagonal number.

It is an amenable number.

3878673841 is a deficient number, since it is larger than the sum of its proper divisors (913666298).

3878673841 is an frugal number, since it uses more digits than its factorization.

3878673841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 79 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 55.

The cubic root of 3878673841 is about 1571.1865536230.

The spelling of 3878673841 in words is "three billion, eight hundred seventy-eight million, six hundred seventy-three thousand, eight hundred forty-one".