3681732812800 has 672 divisors, whose sum is σ = 11631185556480. Its totient is φ = 1125384192000.

The previous prime is 3681732812729. The next prime is 3681732812869. The reversal of 3681732812800 is 82182371863.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463048825 + ... + 463056775.

It is an arithmetic number, because the mean of its divisors is an integer number (17308311840).

Almost surely, 2^{3681732812800} 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 3681732812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815592778240).

3681732812800 is an abundant number, since it is smaller than the sum of its proper divisors (7949452743680).

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

3681732812800 is a wasteful number, since it uses less digits than its factorization.

3681732812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Subtracting from 3681732812800 its product of nonzero digits (774144), we obtain a square (3681732038656 = 1918784²).

The spelling of 3681732812800 in words is "three trillion, six hundred eighty-one billion, seven hundred thirty-two million, eight hundred twelve thousand, eight hundred".