3221322000 has 160 divisors (see below), whose sum is σ = 11184700800. Its totient is φ = 792921600.

The previous prime is 3221321969. The next prime is 3221322029. The reversal of 3221322000 is 2231223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57351 + ... + 98649.

It is an arithmetic number, because the mean of its divisors is an integer number (69904380).

Almost surely, 2^3221322000 is an apocalyptic number.

3221322000 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 3221322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592350400).

3221322000 is an abundant number, since it is smaller than the sum of its proper divisors (7963378800).

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

3221322000 is a wasteful number, since it uses less digits than its factorization.

3221322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41338 (or 41322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3221322000 is about 56756.6912354834. The cubic root of 3221322000 is about 1476.8783118610.

Adding to 3221322000 its reverse (2231223), we get a palindrome (3223553223).

It can be divided in two parts, 3221 and 322000, that added together give a triangular number (325221 = T₈₀₆).

The spelling of 3221322000 in words is "three billion, two hundred twenty-one million, three hundred twenty-two thousand".