3442353034120 has 1024 divisors, whose sum is σ = 11212701696000. Its totient is φ = 915726643200.

The previous prime is 3442353034027. The next prime is 3442353034151. The reversal of 3442353034120 is 214303532443.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12163791499 + ... + 12163791781.

It is an arithmetic number, because the mean of its divisors is an integer number (10949904000).

Almost surely, 2^{3442353034120} 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 3442353034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606350848000).

3442353034120 is an abundant number, since it is smaller than the sum of its proper divisors (7770348661880).

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

3442353034120 is a wasteful number, since it uses less digits than its factorization.

3442353034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 3442353034120 its reverse (214303532443), we get a palindrome (3656656566563).

The spelling of 3442353034120 in words is "three trillion, four hundred forty-two billion, three hundred fifty-three million, thirty-four thousand, one hundred twenty".