3825985968 has 160 divisors (see below), whose sum is σ = 13096780800. Its totient is φ = 1045592064.

The previous prime is 3825985967. The next prime is 3825985973. The reversal of 3825985968 is 8695895283.

3825985968 is a `hidden beast` number, since 38 + 2 + 5 + 9 + 8 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3825985963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42048 + ... + 97056.

It is an arithmetic number, because the mean of its divisors is an integer number (81854880).

Almost surely, 2^3825985968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825985968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548390400).

3825985968 is an abundant number, since it is smaller than the sum of its proper divisors (9270794832).

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

3825985968 is a wasteful number, since it uses less digits than its factorization.

3825985968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55056 (or 55044 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The square root of 3825985968 is about 61854.5549494942. The cubic root of 3825985968 is about 1564.0397663025.

The spelling of 3825985968 in words is "three billion, eight hundred twenty-five million, nine hundred eighty-five thousand, nine hundred sixty-eight".