3681771264 has 108 divisors (see below), whose sum is σ = 10642086000. Its totient is φ = 1224179712.

The previous prime is 3681771263. The next prime is 3681771287. The reversal of 3681771264 is 4621771863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681771263) 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 11 ways as a sum of consecutive naturals, for example, 1032717 + ... + 1036275.

Almost surely, 2^3681771264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321043000).

3681771264 is an abundant number, since it is smaller than the sum of its proper divisors (6960314736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3681771264 is a wasteful number, since it uses less digits than its factorization.

3681771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4013 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 3681771264 is about 60677.6010072910. The cubic root of 3681771264 is about 1544.1361885115.

The spelling of 3681771264 in words is "three billion, six hundred eighty-one million, seven hundred seventy-one thousand, two hundred sixty-four".