3211321223440 has 160 divisors (see below), whose sum is σ = 8302729412736. Its totient is φ = 1145171988480.

The previous prime is 3211321223399. The next prime is 3211321223441. The reversal of 3211321223440 is 443221231123.

It is a junction number, because it is equal to n+sod(n) for n = 3211321223399 and 3211321223408.

It is not an unprimeable number, because it can be changed into a prime (3211321223441) 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, 104598172 + ... + 104628868.

Almost surely, 2^{3211321223440} 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 3211321223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151364706368).

3211321223440 is an abundant number, since it is smaller than the sum of its proper divisors (5091408189296).

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

3211321223440 is a wasteful number, since it uses less digits than its factorization.

3211321223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33017 (or 33011 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 3211321223440 its reverse (443221231123), we get a palindrome (3654542454563).

The spelling of 3211321223440 in words is "three trillion, two hundred eleven billion, three hundred twenty-one million, two hundred twenty-three thousand, four hundred forty".