3442431042100 has 72 divisors (see below), whose sum is σ = 7490309339520. Its totient is φ = 1373245486080.

The previous prime is 3442431042049. The next prime is 3442431042107. The reversal of 3442431042100 is 12401342443.

It is a super-2 number, since 2×3442431042100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442431042107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105550596 + ... + 105583204.

It is an arithmetic number, because the mean of its divisors is an integer number (104032074160).

Almost surely, 2^{3442431042100} is an apocalyptic number.

It is an amenable number.

3442431042100 is an abundant number, since it is smaller than the sum of its proper divisors (4047878297420).

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

3442431042100 is a wasteful number, since it uses less digits than its factorization.

3442431042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35449 (or 35442 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3442431042100 its reverse (12401342443), we get a palindrome (3454832384543).

The spelling of 3442431042100 in words is "three trillion, four hundred forty-two billion, four hundred thirty-one million, forty-two thousand, one hundred".