3200320008 has 108 divisors (see below), whose sum is σ = 8895647085. Its totient is φ = 1039411968.

The previous prime is 3200320003. The next prime is 3200320009. The reversal of 3200320008 is 8000230023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2021221764 + 1179098244 = 44958^2 + 34338^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=40002.

It is a super-3 number, since 3×3200320008³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3200320003) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 28321360 + ... + 28321472.

Almost surely, 2^3200320008 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 3200320008

3200320008 is an abundant number, since it is smaller than the sum of its proper divisors (5695327077).

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

3200320008 is a wasteful number, since it uses less digits than its factorization.

3200320008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3200320008 is about 56571.3709220485. The cubic root of 3200320008 is about 1473.6617194668.

Multiplying 3200320008 by its sum of digits (18), we get a square (57605760144 = 240012²).

3200320008 divided by its sum of digits (18) gives a square (177795556 = 13334²).

Multiplying 3200320008 by its product of nonzero digits (288), we get a square (921692162304 = 960048²).

The spelling of 3200320008 in words is "three billion, two hundred million, three hundred twenty thousand, eight".