3807224243200 has 264 divisors, whose sum is σ = 10798570083392. Its totient is φ = 1303751393280.

The previous prime is 3807224243171. The next prime is 3807224243227. The reversal of 3807224243200 is 23424227083.

It is a self number, because there is not a number n which added to its sum of digits gives 3807224243200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 152845147 + ... + 152870053.

Almost surely, 2^{3807224243200} 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 3807224243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399285041696).

3807224243200 is an abundant number, since it is smaller than the sum of its proper divisors (6991345840192).

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

3807224243200 is a wasteful number, since it uses less digits than its factorization.

3807224243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25797 (or 25774 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The spelling of 3807224243200 in words is "three trillion, eight hundred seven billion, two hundred twenty-four million, two hundred forty-three thousand, two hundred".