3331566216 has 192 divisors, whose sum is σ = 10142496000. Its totient is φ = 979355520.

The previous prime is 3331566163. The next prime is 3331566221. The reversal of 3331566216 is 6126651333.

It is a super-3 number, since 3×3331566216³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3877995 + ... + 3878853.

It is an arithmetic number, because the mean of its divisors is an integer number (52825500).

Almost surely, 2^3331566216 is an apocalyptic number.

3331566216 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 3331566216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071248000).

3331566216 is an abundant number, since it is smaller than the sum of its proper divisors (6810929784).

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

3331566216 is a wasteful number, since it uses less digits than its factorization.

3331566216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1017 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3331566216 is about 57719.7212051479. The cubic root of 3331566216 is about 1493.5375632581.

The spelling of 3331566216 in words is "three billion, three hundred thirty-one million, five hundred sixty-six thousand, two hundred sixteen".