3681414681 has 32 divisors (see below), whose sum is σ = 5785344000. Its totient is φ = 2038834560.

The previous prime is 3681414643. The next prime is 3681414689. The reversal of 3681414681 is 1864141863.

It is not a de Polignac number, because 3681414681 - 2¹¹ = 3681412633 is a prime.

It is a super-4 number, since 4×3681414681⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3681414689) 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, 67045 + ... + 108893.

It is an arithmetic number, because the mean of its divisors is an integer number (180792000).

Almost surely, 2^3681414681 is an apocalyptic number.

It is an amenable number.

3681414681 is a deficient number, since it is larger than the sum of its proper divisors (2103929319).

3681414681 is a wasteful number, since it uses less digits than its factorization.

3681414681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41989.

The product of its digits is 110592, while the sum is 42.

The square root of 3681414681 is about 60674.6625948591. The cubic root of 3681414681 is about 1544.0863365561.

The spelling of 3681414681 in words is "three billion, six hundred eighty-one million, four hundred fourteen thousand, six hundred eighty-one".