3825912960 has 512 divisors, whose sum is σ = 14648832000. Its totient is φ = 940584960.

The previous prime is 3825912947. The next prime is 3825912967. The reversal of 3825912960 is 692195283.

3825912960 is a `hidden beast` number, since 38 + 2 + 591 + 29 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3825912967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14117625 + ... + 14117895.

It is an arithmetic number, because the mean of its divisors is an integer number (28611000).

Almost surely, 2^3825912960 is an apocalyptic number.

3825912960 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 3825912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324416000).

3825912960 is an abundant number, since it is smaller than the sum of its proper divisors (10822919040).

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

3825912960 is a wasteful number, since it uses less digits than its factorization.

3825912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3825912960 is about 61853.9647880393. The cubic root of 3825912960 is about 1564.0298178306.

The spelling of 3825912960 in words is "three billion, eight hundred twenty-five million, nine hundred twelve thousand, nine hundred sixty".