3423214201120 has 384 divisors, whose sum is σ = 9931532083200. Its totient is φ = 1088913715200.

The previous prime is 3423214201117. The next prime is 3423214201151. The reversal of 3423214201120 is 211024123243.

It is a super-3 number, since 3×3423214201120³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340240890 + ... + 340250950.

It is an arithmetic number, because the mean of its divisors is an integer number (25863364800).

Almost surely, 2^{3423214201120} 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 3423214201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965766041600).

3423214201120 is an abundant number, since it is smaller than the sum of its proper divisors (6508317882080).

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

3423214201120 is a wasteful number, since it uses less digits than its factorization.

3423214201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10432 (or 10424 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3423214201120 its reverse (211024123243), we get a palindrome (3634238324363).

The spelling of 3423214201120 in words is "three trillion, four hundred twenty-three billion, two hundred fourteen million, two hundred one thousand, one hundred twenty".