3223872000 has 480 divisors, whose sum is σ = 12074428080. Its totient is φ = 825753600.

The previous prime is 3223871999. The next prime is 3223872007. The reversal of 3223872000 is 2783223.

It can be written as a sum of positive squares in 8 ways, for example, as 10342656 + 3213529344 = 3216^2 + 56688^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223872007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16703904 + ... + 16704096.

Almost surely, 2^3223872000 is an apocalyptic number.

3223872000 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 3223872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037214040).

3223872000 is an abundant number, since it is smaller than the sum of its proper divisors (8850556080).

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

3223872000 is a wasteful number, since it uses less digits than its factorization.

3223872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3223872000 is about 56779.1511031998. The cubic root of 3223872000 is about 1477.2679082647.

The spelling of 3223872000 in words is "three billion, two hundred twenty-three million, eight hundred seventy-two thousand".