3681330525600 has 1728 divisors, whose sum is σ = 15619850265600. Its totient is φ = 745655500800.

The previous prime is 3681330525559. The next prime is 3681330525601. The reversal of 3681330525600 is 65250331863.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3681330525601) 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 287 ways as a sum of consecutive naturals, for example, 8198954176 + ... + 8198954624.

It is an arithmetic number, because the mean of its divisors is an integer number (9039265200).

Almost surely, 2^{3681330525600} is an apocalyptic number.

3681330525600 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 3681330525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809925132800).

3681330525600 is an abundant number, since it is smaller than the sum of its proper divisors (11938519740000).

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

3681330525600 is a wasteful number, since it uses less digits than its factorization.

3681330525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 3681330525600 in words is "three trillion, six hundred eighty-one billion, three hundred thirty million, five hundred twenty-five thousand, six hundred".