3228910345440 has 1152 divisors, whose sum is σ = 13030953062400. Its totient is φ = 720935976960.

The previous prime is 3228910345403. The next prime is 3228910345457. The reversal of 3228910345440 is 445430198223.

3228910345440 is a `hidden beast` number, since 3 + 22 + 89 + 1 + 0 + 3 + 4 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1069528251 + ... + 1069531269.

It is an arithmetic number, because the mean of its divisors is an integer number (11311591200).

Almost surely, 2^{3228910345440} is an apocalyptic number.

3228910345440 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 3228910345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515476531200).

3228910345440 is an abundant number, since it is smaller than the sum of its proper divisors (9802042716960).

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

3228910345440 is a wasteful number, since it uses less digits than its factorization.

3228910345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3228910345440 in words is "three trillion, two hundred twenty-eight billion, nine hundred ten million, three hundred forty-five thousand, four hundred forty".