3338222111400 has 768 divisors, whose sum is σ = 12427947417600. Its totient is φ = 731693952000.

The previous prime is 3338222111327. The next prime is 3338222111447. The reversal of 3338222111400 is 41112228333.

It is a super-2 number, since 2×3338222111400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1646877187 + ... + 1646879213.

It is an arithmetic number, because the mean of its divisors is an integer number (16182223200).

Almost surely, 2^{3338222111400} is an apocalyptic number.

3338222111400 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 3338222111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213973708800).

3338222111400 is an abundant number, since it is smaller than the sum of its proper divisors (9089725306200).

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

3338222111400 is a wasteful number, since it uses less digits than its factorization.

3338222111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 3338222111400 its reverse (41112228333), we get a palindrome (3379334339733).

The spelling of 3338222111400 in words is "three trillion, three hundred thirty-eight billion, two hundred twenty-two million, one hundred eleven thousand, four hundred".