3223362109440 has 512 divisors, whose sum is σ = 11314255996800. Its totient is φ = 777120645120.

The previous prime is 3223362109393. The next prime is 3223362109447. The reversal of 3223362109440 is 449012633223.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×3223362109440² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3223362109447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043495416 + ... + 1043498504.

Almost surely, 2^{3223362109440} is an apocalyptic number.

3223362109440 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 3223362109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657127998400).

3223362109440 is an abundant number, since it is smaller than the sum of its proper divisors (8090893887360).

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

3223362109440 is a wasteful number, since it uses less digits than its factorization.

3223362109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 3223362109440 in words is "three trillion, two hundred twenty-three billion, three hundred sixty-two million, one hundred nine thousand, four hundred forty".