3205896000 has 336 divisors, whose sum is σ = 11017056960. Its totient is φ = 821376000.

The previous prime is 3205895947. The next prime is 3205896007. The reversal of 3205896000 is 6985023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205896007) 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, 23063931 + ... + 23064069.

It is an arithmetic number, because the mean of its divisors is an integer number (32788860).

Almost surely, 2^3205896000 is an apocalyptic number.

3205896000 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 3205896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508528480).

3205896000 is an abundant number, since it is smaller than the sum of its proper divisors (7811160960).

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

3205896000 is a wasteful number, since it uses less digits than its factorization.

3205896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3205896000 is about 56620.6322818811. The cubic root of 3205896000 is about 1474.5170879149.

The spelling of 3205896000 in words is "three billion, two hundred five million, eight hundred ninety-six thousand".