3205204000 has 48 divisors (see below), whose sum is σ = 7875196056. Its totient is φ = 1282080000.

The previous prime is 3205203979. The next prime is 3205204003. The reversal of 3205204000 is 4025023.

It can be written as a sum of positive squares in 4 ways, for example, as 932203024 + 2273000976 = 30532^2 + 47676^2 .

It is a super-3 number, since 3×3205204000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3205204003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396651 + ... + 404650.

Almost surely, 2^3205204000 is an apocalyptic number.

It is an amenable number.

3205204000 is an abundant number, since it is smaller than the sum of its proper divisors (4669992056).

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

3205204000 is an equidigital number, since it uses as much as digits as its factorization.

3205204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801326 (or 801308 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3205204000 is about 56614.5211054549. The cubic root of 3205204000 is about 1474.4109876495.

Adding to 3205204000 its reverse (4025023), we get a palindrome (3209229023).

The spelling of 3205204000 in words is "three billion, two hundred five million, two hundred four thousand".