3224380565952 has 672 divisors, whose sum is σ = 12059823065472. Its totient is φ = 799312969728.

The previous prime is 3224380565921. The next prime is 3224380566007. The reversal of 3224380565952 is 2595650834223.

It is a happy number.

3224380565952 is a `hidden beast` number, since 3 + 2 + 2 + 43 + 8 + 0 + 5 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849189718 + ... + 849193514.

It is an arithmetic number, because the mean of its divisors is an integer number (17946165276).

Almost surely, 2^{3224380565952} is an apocalyptic number.

3224380565952 is a gapful number since it is divisible by the number (32) 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 3224380565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029911532736).

3224380565952 is an abundant number, since it is smaller than the sum of its proper divisors (8835442499520).

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

3224380565952 is a wasteful number, since it uses less digits than its factorization.

3224380565952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 3224380565952 in words is "three trillion, two hundred twenty-four billion, three hundred eighty million, five hundred sixty-five thousand, nine hundred fifty-two".