3216424800 has 288 divisors, whose sum is σ = 11132100000. Its totient is φ = 805109760.

The previous prime is 3216424777. The next prime is 3216424807. The reversal of 3216424800 is 84246123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3216424807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2574576 + ... + 2575824.

It is an arithmetic number, because the mean of its divisors is an integer number (38653125).

Almost surely, 2^3216424800 is an apocalyptic number.

3216424800 is a gapful number since it is divisible by the number (30) 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 3216424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566050000).

3216424800 is an abundant number, since it is smaller than the sum of its proper divisors (7915675200).

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

3216424800 is a wasteful number, since it uses less digits than its factorization.

3216424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3216424800 is about 56713.5327765781. The cubic root of 3216424800 is about 1476.1295264596.

The spelling of 3216424800 in words is "three billion, two hundred sixteen million, four hundred twenty-four thousand, eight hundred".