3825272563200 has 1440 divisors, whose sum is σ = 16163899944192. Its totient is φ = 886837248000.

The previous prime is 3825272563129. The next prime is 3825272563243. The reversal of 3825272563200 is 23652725283.

3825272563200 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 2 + 7 + 2 + 5 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 786928770 + ... + 786933630.

Almost surely, 2^{3825272563200} is an apocalyptic number.

3825272563200 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 3825272563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081949972096).

3825272563200 is an abundant number, since it is smaller than the sum of its proper divisors (12338627380992).

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

3825272563200 is a wasteful number, since it uses less digits than its factorization.

3825272563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3825272563200 in words is "three trillion, eight hundred twenty-five billion, two hundred seventy-two million, five hundred sixty-three thousand, two hundred".