3305880216 has 80 divisors (see below), whose sum is σ = 9285423840. Its totient is φ = 1098878400.

The previous prime is 3305880211. The next prime is 3305880283. The reversal of 3305880216 is 6120885033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305880211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230866 + ... + 244766.

It is an arithmetic number, because the mean of its divisors is an integer number (116067798).

Almost surely, 2^3305880216 is an apocalyptic number.

3305880216 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 3305880216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642711920).

3305880216 is an abundant number, since it is smaller than the sum of its proper divisors (5979543624).

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

3305880216 is a wasteful number, since it uses less digits than its factorization.

3305880216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14286 (or 14273 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3305880216 is about 57496.7843970426. The cubic root of 3305880216 is about 1489.6893209884.

The spelling of 3305880216 in words is "three billion, three hundred five million, eight hundred eighty thousand, two hundred sixteen".