3825004068 has 144 divisors (see below), whose sum is σ = 10472716800. Its totient is φ = 1174279680.

The previous prime is 3825004049. The next prime is 3825004091. The reversal of 3825004068 is 8604005283.

It is a super-2 number, since 2×3825004068² = 29261312240433097248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2361763 + ... + 2363381.

It is an arithmetic number, because the mean of its divisors is an integer number (72727200).

Almost surely, 2^3825004068 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 3825004068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236358400).

3825004068 is an abundant number, since it is smaller than the sum of its proper divisors (6647712732).

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

3825004068 is a wasteful number, since it uses less digits than its factorization.

3825004068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3825004068 is about 61846.6172720869. The cubic root of 3825004068 is about 1563.9059566079.

The spelling of 3825004068 in words is "three billion, eight hundred twenty-five million, four thousand, sixty-eight".