3673882368 has 216 divisors, whose sum is σ = 11905744032. Its totient is φ = 1081073664.

The previous prime is 3673882361. The next prime is 3673882379. The reversal of 3673882368 is 8632883763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673882361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686230 + ... + 691562.

Almost surely, 2^3673882368 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 3673882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952872016).

3673882368 is an abundant number, since it is smaller than the sum of its proper divisors (8231861664).

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

3673882368 is a wasteful number, since it uses less digits than its factorization.

3673882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5374 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3673882368 is about 60612.5594905874. The cubic root of 3673882368 is about 1543.0325312667.

The spelling of 3673882368 in words is "three billion, six hundred seventy-three million, eight hundred eighty-two thousand, three hundred sixty-eight".