3221356320 has 864 divisors, whose sum is σ = 14273086464. Its totient is φ = 646963200.

The previous prime is 3221356283. The next prime is 3221356321. The reversal of 3221356320 is 236531223.

3221356320 is a `hidden beast` number, since 3 + 2 + 21 + 3 + 5 + 632 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is not an unprimeable number, because it can be changed into a prime (3221356321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52809090 + ... + 52809150.

It is an arithmetic number, because the mean of its divisors is an integer number (16519776).

Almost surely, 2^3221356320 is an apocalyptic number.

3221356320 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 3221356320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136543232).

3221356320 is an abundant number, since it is smaller than the sum of its proper divisors (11051730144).

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

3221356320 is a wasteful number, since it uses less digits than its factorization.

3221356320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3221356320 is about 56756.9935778843. The cubic root of 3221356320 is about 1476.8835567350.

Adding to 3221356320 its reverse (236531223), we get a palindrome (3457887543).

It can be divided in two parts, 322135 and 6320, that added together give a triangular number (328455 = T₈₁₀).

The spelling of 3221356320 in words is "three billion, two hundred twenty-one million, three hundred fifty-six thousand, three hundred twenty".