3322110114400 has 648 divisors, whose sum is σ = 10635885306648. Its totient is φ = 1001935872000.

The previous prime is 3322110114373. The next prime is 3322110114409. The reversal of 3322110114400 is 44110112233.

It is a super-2 number, since 2×3322110114400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322110114409) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 414379192 + ... + 414387208.

It is an arithmetic number, because the mean of its divisors is an integer number (16413403251).

Almost surely, 2^{3322110114400} 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 3322110114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317942653324).

3322110114400 is an abundant number, since it is smaller than the sum of its proper divisors (7313775192248).

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

3322110114400 is a wasteful number, since it uses less digits than its factorization.

3322110114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8124 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 3322110114400 its reverse (44110112233), we get a palindrome (3366220226633).

The spelling of 3322110114400 in words is "three trillion, three hundred twenty-two billion, one hundred ten million, one hundred fourteen thousand, four hundred".