3825648000 has 384 divisors, whose sum is σ = 14198595840. Its totient is φ = 986112000.

The previous prime is 3825647999. The next prime is 3825648011. The reversal of 3825648000 is 8465283.

3825648000 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463572 + ... + 4464428.

It is an arithmetic number, because the mean of its divisors is an integer number (36975510).

Almost surely, 2^3825648000 is an apocalyptic number.

3825648000 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 3825648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099297920).

3825648000 is an abundant number, since it is smaller than the sum of its proper divisors (10372947840).

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

3825648000 is a wasteful number, since it uses less digits than its factorization.

3825648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3825648000 is about 61851.8229319072. The cubic root of 3825648000 is about 1563.9937118596.

The spelling of 3825648000 in words is "three billion, eight hundred twenty-five million, six hundred forty-eight thousand".