34102225520 has 80 divisors (see below), whose sum is σ = 86548746240. Its totient is φ = 12393196800.

The previous prime is 34102225427. The next prime is 34102225541. The reversal of 34102225520 is 2552220143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 34102225520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1536905 + ... + 1558935.

It is an arithmetic number, because the mean of its divisors is an integer number (1081859328).

Almost surely, 2^34102225520 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 34102225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43274373120).

34102225520 is an abundant number, since it is smaller than the sum of its proper divisors (52446520720).

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

34102225520 is a wasteful number, since it uses less digits than its factorization.

34102225520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23814 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 34102225520 its reverse (2552220143), we get a palindrome (36654445663).

The spelling of 34102225520 in words is "thirty-four billion, one hundred two million, two hundred twenty-five thousand, five hundred twenty".