3227668416 has 504 divisors, whose sum is σ = 11803989600. Its totient is φ = 839946240.

The previous prime is 3227668391. The next prime is 3227668421. The reversal of 3227668416 is 6148667223.

3227668416 is a `hidden beast` number, since 3 + 227 + 6 + 6 + 8 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104118321 + ... + 104118351.

Almost surely, 2^3227668416 is an apocalyptic number.

3227668416 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 3227668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901994800).

3227668416 is an abundant number, since it is smaller than the sum of its proper divisors (8576321184).

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

3227668416 is a wasteful number, since it uses less digits than its factorization.

3227668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3227668416 is about 56812.5726930228. The cubic root of 3227668416 is about 1477.8475552976.

The spelling of 3227668416 in words is "three billion, two hundred twenty-seven million, six hundred sixty-eight thousand, four hundred sixteen".