3303117216 has 144 divisors (see below), whose sum is σ = 11202033024. Its totient is φ = 902702592.

The previous prime is 3303117211. The next prime is 3303117217. The reversal of 3303117216 is 6127113033.

3303117216 is a `hidden beast` number, since 330 + 3 + 117 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3303117216.

It is not an unprimeable number, because it can be changed into a prime (3303117211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10750 + ... + 81986.

It is an arithmetic number, because the mean of its divisors is an integer number (77791896).

Almost surely, 2^3303117216 is an apocalyptic number.

3303117216 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 3303117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601016512).

3303117216 is an abundant number, since it is smaller than the sum of its proper divisors (7898915808).

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

3303117216 is a wasteful number, since it uses less digits than its factorization.

3303117216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71283 (or 71272 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3303117216 is about 57472.7519438560. The cubic root of 3303117216 is about 1489.2741860817.

The spelling of 3303117216 in words is "three billion, three hundred three million, one hundred seventeen thousand, two hundred sixteen".