3221414320 has 80 divisors (see below), whose sum is σ = 7962802848. Its totient is φ = 1207808000.

The previous prime is 3221414311. The next prime is 3221414327. The reversal of 3221414320 is 234141223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3221414320² = 20755020442202124800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3221414291 and 3221414300.

It is not an unprimeable number, because it can be changed into a prime (3221414327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336642 + ... + 346078.

Almost surely, 2^3221414320 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 3221414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981401424).

3221414320 is an abundant number, since it is smaller than the sum of its proper divisors (4741388528).

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

3221414320 is a wasteful number, since it uses less digits than its factorization.

3221414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 9712 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3221414320 is about 56757.5045258334. The cubic root of 3221414320 is about 1476.8924203650.

Adding to 3221414320 its reverse (234141223), we get a palindrome (3455555543).

The spelling of 3221414320 in words is "three billion, two hundred twenty-one million, four hundred fourteen thousand, three hundred twenty".