3828036951200 has 288 divisors, whose sum is σ = 11655513999360. Its totient is φ = 1192707763200.

The previous prime is 3828036951199. The next prime is 3828036951227. The reversal of 3828036951200 is 21596308283.

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 47 ways as a sum of consecutive naturals, for example, 189656309 + ... + 189676491.

It is an arithmetic number, because the mean of its divisors is an integer number (40470534720).

Almost surely, 2^{3828036951200} 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 3828036951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827756999680).

3828036951200 is an abundant number, since it is smaller than the sum of its proper divisors (7827477048160).

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

3828036951200 is a wasteful number, since it uses less digits than its factorization.

3828036951200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23300 (or 23287 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 3828036951200 in words is "three trillion, eight hundred twenty-eight billion, thirty-six million, nine hundred fifty-one thousand, two hundred".