3829525072800 has 576 divisors, whose sum is σ = 15004309662720. Its totient is φ = 828769812480.

The previous prime is 3829525072777. The next prime is 3829525072873. The reversal of 3829525072800 is 82705259283.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009627704 + ... + 1009631496.

It is an arithmetic number, because the mean of its divisors is an integer number (26049148720).

Almost surely, 2^{3829525072800} is an apocalyptic number.

3829525072800 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 3829525072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502154831360).

3829525072800 is an abundant number, since it is smaller than the sum of its proper divisors (11174784589920).

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

3829525072800 is a wasteful number, since it uses less digits than its factorization.

3829525072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 3829525072800 in words is "three trillion, eight hundred twenty-nine billion, five hundred twenty-five million, seventy-two thousand, eight hundred".