3248088064 has 99 divisors (see below), whose sum is σ = 7082581107. Its totient is φ = 1488175104.

The previous prime is 3248088047. The next prime is 3248088091. The reversal of 3248088064 is 4608808423.

The square root of 3248088064 is 56992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 288728064 + 2959360000 = 16992^2 + 54400^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3248088064.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 23708604 + ... + 23708740.

Almost surely, 2^3248088064 is an apocalyptic number.

3248088064 is the 56992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3248088064

3248088064 is an abundant number, since it is smaller than the sum of its proper divisors (3834493043).

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

3248088064 is an equidigital number, since it uses as much as digits as its factorization.

3248088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The cubic root of 3248088064 is about 1480.9575104112.

The spelling of 3248088064 in words is "three billion, two hundred forty-eight million, eighty-eight thousand, sixty-four".