3681310084 has 24 divisors (see below), whose sum is σ = 6823231128. Its totient is φ = 1731878400.

The previous prime is 3681310081. The next prime is 3681310121. The reversal of 3681310084 is 4800131863.

3681310084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 943718400 + 2737591684 = 30720^2 + 52322^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3681310081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341562 + ... + 352174.

It is an arithmetic number, because the mean of its divisors is an integer number (284301297).

Almost surely, 2^3681310084 is an apocalyptic number.

3681310084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3681310084 is a deficient number, since it is larger than the sum of its proper divisors (3141921044).

3681310084 is a wasteful number, since it uses less digits than its factorization.

3681310084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15735 (or 15733 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3681310084 is about 60673.8006391556. The cubic root of 3681310084 is about 1544.0717128002.

The spelling of 3681310084 in words is "three billion, six hundred eighty-one million, three hundred ten thousand, eighty-four".