3213220311400 has 192 divisors, whose sum is σ = 8374647024000. Its totient is φ = 1136255155200.

The previous prime is 3213220311391. The next prime is 3213220311419. The reversal of 3213220311400 is 41130223123.

3213220311400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168407061 + ... + 168426139.

It is an arithmetic number, because the mean of its divisors is an integer number (43617953250).

Almost surely, 2^{3213220311400} 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 3213220311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187323512000).

3213220311400 is an abundant number, since it is smaller than the sum of its proper divisors (5161426712600).

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

3213220311400 is a wasteful number, since it uses less digits than its factorization.

3213220311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21212 (or 21203 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3213220311400 its reverse (41130223123), we get a palindrome (3254350534523).

The spelling of 3213220311400 in words is "three trillion, two hundred thirteen billion, two hundred twenty million, three hundred eleven thousand, four hundred".