3285000 has 120 divisors (see below), whose sum is σ = 11269830. Its totient is φ = 864000.

The previous prime is 3284999. The next prime is 3285019. The reversal of 3285000 is 5823.

It can be written as a sum of positive squares in 5 ways, for example, as 66564 + 3218436 = 258^2 + 1794^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44964 + ... + 45036.

Almost surely, 2^3285000 is an apocalyptic number.

3285000 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 3285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634915).

3285000 is an abundant number, since it is smaller than the sum of its proper divisors (7984830).

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

3285000 is a wasteful number, since it uses less digits than its factorization.

3285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3285000 is about 1812.4568960392. The cubic root of 3285000 is about 148.6546360480.

The spelling of 3285000 in words is "three million, two hundred eighty-five thousand".