3452125164642 has 192 divisors, whose sum is σ = 9417438950400. Its totient is φ = 887797895040.

The previous prime is 3452125164619. The next prime is 3452125164647. The reversal of 3452125164642 is 2464615212543.

It is a happy number.

3452125164642 is a `hidden beast` number, since 3 + 4 + 52 + 1 + 2 + 516 + 46 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (3452125164647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336492109 + ... + 336502367.

It is an arithmetic number, because the mean of its divisors is an integer number (49049161200).

Almost surely, 2^{3452125164642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3452125164642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708719475200).

3452125164642 is an abundant number, since it is smaller than the sum of its proper divisors (5965313785758).

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

3452125164642 is a wasteful number, since it uses less digits than its factorization.

3452125164642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661 (or 12658 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 3452125164642 in words is "three trillion, four hundred fifty-two billion, one hundred twenty-five million, one hundred sixty-four thousand, six hundred forty-two".