3825984000 has 160 divisors (see below), whose sum is σ = 12721078656. Its totient is φ = 1020211200.

The previous prime is 3825983969. The next prime is 3825984031. The reversal of 3825984000 is 4895283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3825983969) and next prime (3825984031).

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 3825984000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182037 + ... + 201963.

Almost surely, 2^3825984000 is an apocalyptic number.

3825984000 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 3825984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360539328).

3825984000 is an abundant number, since it is smaller than the sum of its proper divisors (8895094656).

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

3825984000 is an equidigital number, since it uses as much as digits as its factorization.

3825984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19963 (or 19937 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 3825984000 is about 61854.5390412054. The cubic root of 3825984000 is about 1564.0394981336.

The spelling of 3825984000 in words is "three billion, eight hundred twenty-five million, nine hundred eighty-four thousand".