3365000 has 40 divisors (see below), whose sum is σ = 7895910. Its totient is φ = 1344000.

The previous prime is 3364987. The next prime is 3365003. The reversal of 3365000 is 5633.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1444 + 3363556 = 38^2 + 1834^2 .

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

It is a super-2 number, since 2×3365000² = 22646450000000, which contains 22 as substring.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3365000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365003) 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, 4664 + ... + 5336.

Almost surely, 2^3365000 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 3365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947955).

3365000 is an abundant number, since it is smaller than the sum of its proper divisors (4530910).

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

3365000 is an equidigital number, since it uses as much as digits as its factorization.

3365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 3365000 is about 1834.3936327844. The cubic root of 3365000 is about 149.8517052914.

The spelling of 3365000 in words is "three million, three hundred sixty-five thousand".