3825296064 has 112 divisors (see below), whose sum is σ = 11520159840. Its totient is φ = 1243975680.

The previous prime is 3825296017. The next prime is 3825296071. The reversal of 3825296064 is 4606925283.

3825296064 is a `hidden beast` number, since 3 + 8 + 2 + 529 + 60 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43852 + ... + 97844.

It is an arithmetic number, because the mean of its divisors is an integer number (102858570).

Almost surely, 2^3825296064 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 3825296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760079920).

3825296064 is an abundant number, since it is smaller than the sum of its proper divisors (7694863776).

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

3825296064 is a wasteful number, since it uses less digits than its factorization.

3825296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54055 (or 54039 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3825296064 is about 61848.9778735267. The cubic root of 3825296064 is about 1563.9457511332.

The spelling of 3825296064 in words is "three billion, eight hundred twenty-five million, two hundred ninety-six thousand, sixty-four".