3221253403344 has 120 divisors (see below), whose sum is σ = 9239142407040. Its totient is φ = 1047386036736.

The previous prime is 3221253403343. The next prime is 3221253403363. The reversal of 3221253403344 is 4433043521223.

3221253403344 is a `hidden beast` number, since 3 + 2 + 21 + 253 + 40 + 3 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3221253403299 and 3221253403308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221253403343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761589 + ... + 2650004.

It is an arithmetic number, because the mean of its divisors is an integer number (76992853392).

Almost surely, 2^{3221253403344} is an apocalyptic number.

It is an amenable number.

3221253403344 is an abundant number, since it is smaller than the sum of its proper divisors (6017889003696).

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

3221253403344 is a wasteful number, since it uses less digits than its factorization.

3221253403344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411769 (or 3411760 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 3221253403344 its reverse (4433043521223), we get a palindrome (7654296924567).

The spelling of 3221253403344 in words is "three trillion, two hundred twenty-one billion, two hundred fifty-three million, four hundred three thousand, three hundred forty-four".