3687228547200 has 864 divisors, whose sum is σ = 14853066517380. Its totient is φ = 869684428800.

The previous prime is 3687228547133. The next prime is 3687228547207. The reversal of 3687228547200 is 27458227863.

3687228547200 is a `hidden beast` number, since 3 + 6 + 8 + 72 + 2 + 8 + 547 + 20 + 0 = 666.

3687228547200 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 6 ways, for example, as 3271265464896 + 415963082304 = 1808664^2 + 644952^2 .

It is not an unprimeable number, because it can be changed into a prime (3687228547207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 128923302 + ... + 128951898.

Almost surely, 2^{3687228547200} is an apocalyptic number.

3687228547200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3687228547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426533258690).

3687228547200 is an abundant number, since it is smaller than the sum of its proper divisors (11165837970180).

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

3687228547200 is a wasteful number, since it uses less digits than its factorization.

3687228547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28686 (or 28655 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3687228547200 in words is "three trillion, six hundred eighty-seven billion, two hundred twenty-eight million, five hundred forty-seven thousand, two hundred".