3226561440 has 288 divisors, whose sum is σ = 10816255296. Its totient is φ = 808304640.

The previous prime is 3226561381. The next prime is 3226561451. The reversal of 3226561440 is 441656223.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24630175 + ... + 24630305.

It is an arithmetic number, because the mean of its divisors is an integer number (37556442).

Almost surely, 2^3226561440 is an apocalyptic number.

3226561440 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 3226561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408127648).

3226561440 is an abundant number, since it is smaller than the sum of its proper divisors (7589693856).

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

3226561440 is a wasteful number, since it uses less digits than its factorization.

3226561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3226561440 is about 56802.8295069885. The cubic root of 3226561440 is about 1477.6785861819.

The spelling of 3226561440 in words is "three billion, two hundred twenty-six million, five hundred sixty-one thousand, four hundred forty".