34240432242044 has 96 divisors (see below), whose sum is σ = 72356796137472. Its totient is φ = 13866447672000.

The previous prime is 34240432242017. The next prime is 34240432242089. The reversal of 34240432242044 is 44024223404243.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34240432241989 and 34240432242007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118957139 + ... + 119244629.

It is an arithmetic number, because the mean of its divisors is an integer number (753716626432).

Almost surely, 2^{34240432242044} 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 34240432242044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36178398068736).

34240432242044 is an abundant number, since it is smaller than the sum of its proper divisors (38116363895428).

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

34240432242044 is a wasteful number, since it uses less digits than its factorization.

34240432242044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290767 (or 290765 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

Adding to 34240432242044 its reverse (44024223404243), we get a palindrome (78264655646287).

The spelling of 34240432242044 in words is "thirty-four trillion, two hundred forty billion, four hundred thirty-two million, two hundred forty-two thousand, forty-four".