34411422053316 has 576 divisors, whose sum is σ = 104015474196480. Its totient is φ = 8662932115200.

The previous prime is 34411422053273. The next prime is 34411422053357. The reversal of 34411422053316 is 61335022411443.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27954038421 + ... + 27954039651.

It is an arithmetic number, because the mean of its divisors is an integer number (180582420480).

Almost surely, 2^{34411422053316} 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 34411422053316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52007737098240).

34411422053316 is an abundant number, since it is smaller than the sum of its proper divisors (69604052143164).

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

34411422053316 is a wasteful number, since it uses less digits than its factorization.

34411422053316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 34411422053316 its reverse (61335022411443), we get a palindrome (95746444464759).

The spelling of 34411422053316 in words is "thirty-four trillion, four hundred eleven billion, four hundred twenty-two million, fifty-three thousand, three hundred sixteen".