3205345000 has 160 divisors (see below), whose sum is σ = 8825050080. Its totient is φ = 1075680000.

The previous prime is 3205344991. The next prime is 3205345007. The reversal of 3205345000 is 5435023.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3205345007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 712759 + ... + 717241.

It is an arithmetic number, because the mean of its divisors is an integer number (55156563).

Almost surely, 2^3205345000 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 3205345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412525040).

3205345000 is an abundant number, since it is smaller than the sum of its proper divisors (5619705080).

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

3205345000 is a wasteful number, since it uses less digits than its factorization.

3205345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 3205345000 is about 56615.7663553184. The cubic root of 3205345000 is about 1474.4326075839.

The spelling of 3205345000 in words is "three billion, two hundred five million, three hundred forty-five thousand".