3229216160688 has 320 divisors, whose sum is σ = 11007376752640. Its totient is φ = 886953888000.

The previous prime is 3229216160683. The next prime is 3229216160711. The reversal of 3229216160688 is 8860616129223.

3229216160688 is a `hidden beast` number, since 3 + 2 + 2 + 9 + 21 + 6 + 1 + 606 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3229216160683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14041281 + ... + 14269407.

It is an arithmetic number, because the mean of its divisors is an integer number (34398052352).

Almost surely, 2^{3229216160688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3229216160688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503688376320).

3229216160688 is an abundant number, since it is smaller than the sum of its proper divisors (7778160591952).

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

3229216160688 is a wasteful number, since it uses less digits than its factorization.

3229216160688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228333 (or 228321 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3229216160688 in words is "three trillion, two hundred twenty-nine billion, two hundred sixteen million, one hundred sixty thousand, six hundred eighty-eight".