3224775456 has 432 divisors, whose sum is σ = 11602090080. Its totient is φ = 868734720.

The previous prime is 3224775439. The next prime is 3224775469. The reversal of 3224775456 is 6545774223.

3224775456 is a `hidden beast` number, since 32 + 2 + 4 + 77 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15283191 + ... + 15283401.

It is an arithmetic number, because the mean of its divisors is an integer number (26856690).

Almost surely, 2^3224775456 is an apocalyptic number.

3224775456 is a gapful number since it is divisible by the number (36) 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 3224775456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801045040).

3224775456 is an abundant number, since it is smaller than the sum of its proper divisors (8377314624).

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

3224775456 is a wasteful number, since it uses less digits than its factorization.

3224775456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 242 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 3224775456 is about 56787.1064239058. The cubic root of 3224775456 is about 1477.4058916070.

The spelling of 3224775456 in words is "three billion, two hundred twenty-four million, seven hundred seventy-five thousand, four hundred fifty-six".