3342322420400 has 120 divisors (see below), whose sum is σ = 8522012752704. Its totient is φ = 1255365529600.

The previous prime is 3342322420399. The next prime is 3342322420439. The reversal of 3342322420400 is 40242232433.

It is a happy number.

It is a super-2 number, since 2×3342322420400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2360594 + ... + 3501006.

Almost surely, 2^{3342322420400} 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 3342322420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261006376352).

3342322420400 is an abundant number, since it is smaller than the sum of its proper divisors (5179690332304).

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

3342322420400 is a wasteful number, since it uses less digits than its factorization.

3342322420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140879 (or 1140868 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 3342322420400 its reverse (40242232433), we get a palindrome (3382564652833).

The spelling of 3342322420400 in words is "three trillion, three hundred forty-two billion, three hundred twenty-two million, four hundred twenty thousand, four hundred".