3285646000 has 240 divisors, whose sum is σ = 9956550240. Its totient is φ = 1039449600.

The previous prime is 3285645997. The next prime is 3285646033. The reversal of 3285646000 is 6465823.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272711 + ... + 1275289.

It is an arithmetic number, because the mean of its divisors is an integer number (41485626).

Almost surely, 2^3285646000 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 3285646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978275120).

3285646000 is an abundant number, since it is smaller than the sum of its proper divisors (6670904240).

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

3285646000 is a wasteful number, since it uses less digits than its factorization.

3285646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 3285646000 is about 57320.5547774967. The cubic root of 3285646000 is about 1486.6437979238.

The spelling of 3285646000 in words is "three billion, two hundred eighty-five million, six hundred forty-six thousand".