3305000 has 40 divisors (see below), whose sum is σ = 7755330. Its totient is φ = 1320000.

The previous prime is 3304991. The next prime is 3305009. The reversal of 3305000 is 5033.

It is an interprime number because it is at equal distance from previous prime (3304991) and next prime (3305009).

It can be written as a sum of positive squares in 5 ways, for example, as 228484 + 3076516 = 478^2 + 1754^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3305009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4670 + ... + 5330.

Almost surely, 2^3305000 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 3305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877665).

3305000 is an abundant number, since it is smaller than the sum of its proper divisors (4450330).

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

3305000 is an equidigital number, since it uses as much as digits as its factorization.

3305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 3305000 is about 1817.9658962698. The cubic root of 3305000 is about 148.9557095511.

The spelling of 3305000 in words is "three million, three hundred five thousand".