3825967824 has 240 divisors, whose sum is σ = 12988722240. Its totient is φ = 1074850560.

The previous prime is 3825967823. The next prime is 3825967921. The reversal of 3825967824 is 4287695283.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825967823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289767 + ... + 1292729.

It is an arithmetic number, because the mean of its divisors is an integer number (54119676).

Almost surely, 2^3825967824 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 3825967824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494361120).

3825967824 is an abundant number, since it is smaller than the sum of its proper divisors (9162754416).

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

3825967824 is a wasteful number, since it uses less digits than its factorization.

3825967824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3036 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3825967824 is about 61854.4082826762. The cubic root of 3825967824 is about 1564.0372939130.

The spelling of 3825967824 in words is "three billion, eight hundred twenty-five million, nine hundred sixty-seven thousand, eight hundred twenty-four".