3200005000 has 120 divisors (see below), whose sum is σ = 7775268930. Its totient is φ = 1234240000.

The previous prime is 3200004949. The next prime is 3200005021. The reversal of 3200005000 is 5000023.

It can be written as a sum of positive squares in 15 ways, for example, as 2321119684 + 878885316 = 48178^2 + 29646^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4204620 + ... + 4205380.

Almost surely, 2^3200005000 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 3200005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887634465).

3200005000 is an abundant number, since it is smaller than the sum of its proper divisors (4575263930).

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

3200005000 is an equidigital number, since it uses as much as digits as its factorization.

3200005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 3200005000 is about 56568.5866890804. The cubic root of 3200005000 is about 1473.6133669623.

Adding to 3200005000 its reverse (5000023), we get a palindrome (3205005023).

It can be divided in two parts, 320000 and 5000, that multiplied together give a 4-th power (1600000000 = 200⁴).

The spelling of 3200005000 in words is "three billion, two hundred million, five thousand".