34205345520 has 160 divisors (see below), whose sum is σ = 108773038080. Its totient is φ = 8886650880.

The previous prime is 34205345519. The next prime is 34205345557. The reversal of 34205345520 is 2554350243.

It is a happy number.

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, 8726121 + ... + 8730039.

It is an arithmetic number, because the mean of its divisors is an integer number (679831488).

Almost surely, 2^34205345520 is an apocalyptic number.

34205345520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34205345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54386519040).

34205345520 is an abundant number, since it is smaller than the sum of its proper divisors (74567692560).

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

34205345520 is a wasteful number, since it uses less digits than its factorization.

34205345520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 34205345520 its reverse (2554350243), we get a palindrome (36759695763).

The spelling of 34205345520 in words is "thirty-four billion, two hundred five million, three hundred forty-five thousand, five hundred twenty".