3305016 has 128 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 915840.

The previous prime is 3305011. The next prime is 3305017. The reversal of 3305016 is 6105033.

3305016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3305016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30835 + ... + 30941.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

Almost surely, 2^3305016 is an apocalyptic number.

3305016 is a gapful number since it is divisible by the number (36) 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 3305016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3305016 is an abundant number, since it is smaller than the sum of its proper divisors (7581384).

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

3305016 is a wasteful number, since it uses less digits than its factorization.

3305016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 3305016 is about 1817.9702967871. The cubic root of 3305016 is about 148.9559499230.

The spelling of 3305016 in words is "three million, three hundred five thousand, sixteen".