3221414280 has 512 divisors, whose sum is σ = 13257216000. Its totient is φ = 679311360.

The previous prime is 3221414191. The next prime is 3221414281. The reversal of 3221414280 is 824141223.

3221414280 is a `hidden beast` number, since 3 + 221 + 414 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3221414281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5888967 + ... + 5889513.

It is an arithmetic number, because the mean of its divisors is an integer number (25893000).

Almost surely, 2^3221414280 is an apocalyptic number.

3221414280 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 3221414280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628608000).

3221414280 is an abundant number, since it is smaller than the sum of its proper divisors (10035801720).

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

3221414280 is a wasteful number, since it uses less digits than its factorization.

3221414280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3221414280 is about 56757.5041734571. The cubic root of 3221414280 is about 1476.8924142522.

The spelling of 3221414280 in words is "three billion, two hundred twenty-one million, four hundred fourteen thousand, two hundred eighty".