3681484905 has 48 divisors (see below), whose sum is σ = 6864087744. Its totient is φ = 1680013440.

The previous prime is 3681484879. The next prime is 3681484909. The reversal of 3681484905 is 5094841863.

3681484905 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3681484905 - 2⁶ = 3681484841 is a prime.

It is a super-2 number, since 2×3681484905² = 27106662211485718050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3681484909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446470 + ... + 454640.

It is an arithmetic number, because the mean of its divisors is an integer number (143001828).

Almost surely, 2^3681484905 is an apocalyptic number.

3681484905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3681484905 is a deficient number, since it is larger than the sum of its proper divisors (3182602839).

3681484905 is a wasteful number, since it uses less digits than its factorization.

3681484905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 8799 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 3681484905 is about 60675.2412850579. The cubic root of 3681484905 is about 1544.0961544512.

The spelling of 3681484905 in words is "three billion, six hundred eighty-one million, four hundred eighty-four thousand, nine hundred five".