3631865036800 has 1536 divisors, whose sum is σ = 12494540298240. Its totient is φ = 1010722406400.

The previous prime is 3631865036791. The next prime is 3631865036837. The reversal of 3631865036800 is 86305681363.

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 95 ways as a sum of consecutive naturals, for example, 35260825549 + ... + 35260825651.

It is an arithmetic number, because the mean of its divisors is an integer number (8134466340).

Almost surely, 2^{3631865036800} 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 3631865036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247270149120).

3631865036800 is an abundant number, since it is smaller than the sum of its proper divisors (8862675261440).

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

3631865036800 is a wasteful number, since it uses less digits than its factorization.

3631865036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 3631865036800 in words is "three trillion, six hundred thirty-one billion, eight hundred sixty-five million, thirty-six thousand, eight hundred".