3228511104 has 576 divisors, whose sum is σ = 12113487360. Its totient is φ = 806547456.

The previous prime is 3228510979. The next prime is 3228511133. The reversal of 3228511104 is 4011158223.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 31344717 + ... + 31344819.

It is an arithmetic number, because the mean of its divisors is an integer number (21030360).

Almost surely, 2^3228511104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3228511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056743680).

3228511104 is an abundant number, since it is smaller than the sum of its proper divisors (8884976256).

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

3228511104 is a wasteful number, since it uses less digits than its factorization.

3228511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3228511104 is about 56819.9885955638. The cubic root of 3228511104 is about 1477.9761575242.

Adding to 3228511104 its reverse (4011158223), we get a palindrome (7239669327).

The spelling of 3228511104 in words is "three billion, two hundred twenty-eight million, five hundred eleven thousand, one hundred four".