3300084 has 54 divisors (see below), whose sum is σ = 8718710. Its totient is φ = 1052352.

The previous prime is 3300071. The next prime is 3300097. The reversal of 3300084 is 4800033.

It is an interprime number because it is at equal distance from previous prime (3300071) and next prime (3300097).

It can be written as a sum of positive squares in 3 ways, for example, as 810000 + 2490084 = 900^2 + 1578^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30222 + ... + 30330.

Almost surely, 2^3300084 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 3300084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359355).

3300084 is an abundant number, since it is smaller than the sum of its proper divisors (5418626).

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

3300084 is a wasteful number, since it uses less digits than its factorization.

3300084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3300084 is about 1816.6133325504. The cubic root of 3300084 is about 148.8818185136.

The spelling of 3300084 in words is "three million, three hundred thousand, eighty-four".