3342004134120 has 192 divisors, whose sum is σ = 10960114698000. Its totient is φ = 883133743104.

The previous prime is 3342004134089. The next prime is 3342004134127. The reversal of 3342004134120 is 214314002433.

3342004134120 is a `hidden beast` number, since 3 + 3 + 4 + 200 + 41 + 3 + 412 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2192893028964 + 1149111105156 = 1480842^2 + 1071966^2 .

It is a super-2 number, since 2×3342004134120² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3342004134127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28003536 + ... + 28122624.

Almost surely, 2^{3342004134120} is an apocalyptic number.

3342004134120 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 3342004134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480057349000).

3342004134120 is an abundant number, since it is smaller than the sum of its proper divisors (7618110563880).

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

3342004134120 is a wasteful number, since it uses less digits than its factorization.

3342004134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119812 (or 119805 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3342004134120 its reverse (214314002433), we get a palindrome (3556318136553).

The spelling of 3342004134120 in words is "three trillion, three hundred forty-two billion, four million, one hundred thirty-four thousand, one hundred twenty".