3825832726800 has 720 divisors, whose sum is σ = 16563583196160. Its totient is φ = 828448197120.

The previous prime is 3825832726693. The next prime is 3825832726801. The reversal of 3825832726800 is 86272385283.

3825832726800 is a `hidden beast` number, since 3 + 8 + 2 + 58 + 327 + 268 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3825832726801) 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 143 ways as a sum of consecutive naturals, for example, 12779629 + ... + 13075571.

Almost surely, 2^{3825832726800} is an apocalyptic number.

3825832726800 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 3825832726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281791598080).

3825832726800 is an abundant number, since it is smaller than the sum of its proper divisors (12737750469360).

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

3825832726800 is a wasteful number, since it uses less digits than its factorization.

3825832726800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296002 (or 295979 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3825832726800 in words is "three trillion, eight hundred twenty-five billion, eight hundred thirty-two million, seven hundred twenty-six thousand, eight hundred".