3205323000 has 192 divisors, whose sum is σ = 11819265120. Its totient is φ = 777024000.

The previous prime is 3205322977. The next prime is 3205323001. The reversal of 3205323000 is 3235023.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205323001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82812 + ... + 115188.

Almost surely, 2^3205323000 is an apocalyptic number.

3205323000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909632560).

3205323000 is an abundant number, since it is smaller than the sum of its proper divisors (8613942120).

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

3205323000 is a wasteful number, since it uses less digits than its factorization.

3205323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32415 (or 32398 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3205323000 is about 56615.5720628168. The cubic root of 3205323000 is about 1474.4292343025.

Adding to 3205323000 its reverse (3235023), we get a palindrome (3208558023).

The spelling of 3205323000 in words is "three billion, two hundred five million, three hundred twenty-three thousand".