3221814240 has 288 divisors, whose sum is σ = 11611978560. Its totient is φ = 811819008.

The previous prime is 3221814227. The next prime is 3221814293. The reversal of 3221814240 is 424181223.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2947134 + ... + 2948226.

It is an arithmetic number, because the mean of its divisors is an integer number (40319370).

Almost surely, 2^3221814240 is an apocalyptic number.

3221814240 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 3221814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805989280).

3221814240 is an abundant number, since it is smaller than the sum of its proper divisors (8390164320).

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

3221814240 is a wasteful number, since it uses less digits than its factorization.

3221814240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1215 counting only the distinct ones).

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

The square root of 3221814240 is about 56761.0274748440. The cubic root of 3221814240 is about 1476.9535337269.

Adding to 3221814240 its reverse (424181223), we get a palindrome (3645995463).

The spelling of 3221814240 in words is "three billion, two hundred twenty-one million, eight hundred fourteen thousand, two hundred forty".