3825148800 has 576 divisors, whose sum is σ = 14382673200. Its totient is φ = 892108800.

The previous prime is 3825148793. The next prime is 3825148819. The reversal of 3825148800 is 88415283.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42979156 + ... + 42979244.

Almost surely, 2^3825148800 is an apocalyptic number.

3825148800 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 3825148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191336600).

3825148800 is an abundant number, since it is smaller than the sum of its proper divisors (10557524400).

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

3825148800 is a wasteful number, since it uses less digits than its factorization.

3825148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 3825148800 is about 61847.7873492658. The cubic root of 3825148800 is about 1563.9256815875.

The spelling of 3825148800 in words is "three billion, eight hundred twenty-five million, one hundred forty-eight thousand, eight hundred".