3681171200 has 216 divisors, whose sum is σ = 10511327232. Its totient is φ = 1250242560.

The previous prime is 3681171157. The next prime is 3681171239. The reversal of 3681171200 is 21711863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5689277 + ... + 5689923.

It is an arithmetic number, because the mean of its divisors is an integer number (48663552).

Almost surely, 2^3681171200 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 3681171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255663616).

3681171200 is an abundant number, since it is smaller than the sum of its proper divisors (6830156032).

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

3681171200 is a wasteful number, since it uses less digits than its factorization.

3681171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 3681171200 is about 60672.6561145958. The cubic root of 3681171200 is about 1544.0522949347.

The spelling of 3681171200 in words is "three billion, six hundred eighty-one million, one hundred seventy-one thousand, two hundred".