3220001134400 has 84 divisors (see below), whose sum is σ = 7924962165792. Its totient is φ = 1287716482560.

The previous prime is 3220001134379. The next prime is 3220001134411. The reversal of 3220001134400 is 44311000223.

It is a super-3 number, since 3×3220001134400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7113239 + ... + 7552361.

It is an arithmetic number, because the mean of its divisors is an integer number (94344787688).

Almost surely, 2^{3220001134400} is an apocalyptic number.

It is an amenable number.

3220001134400 is an abundant number, since it is smaller than the sum of its proper divisors (4704961031392).

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

3220001134400 is a wasteful number, since it uses less digits than its factorization.

3220001134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443728 (or 443713 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3220001134400 its reverse (44311000223), we get a palindrome (3264312134623).

The spelling of 3220001134400 in words is "three trillion, two hundred twenty billion, one million, one hundred thirty-four thousand, four hundred".