34205210334 has 128 divisors (see below), whose sum is σ = 81243648000. Its totient is φ = 10644251904.

The previous prime is 34205210329. The next prime is 34205210353. The reversal of 34205210334 is 43301250243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34205210298 and 34205210307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8730544 + ... + 8734460.

It is an arithmetic number, because the mean of its divisors is an integer number (634716000).

Almost surely, 2^34205210334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34205210334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40621824000).

34205210334 is an abundant number, since it is smaller than the sum of its proper divisors (47038437666).

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

34205210334 is a wasteful number, since it uses less digits than its factorization.

34205210334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34205210334 its reverse (43301250243), we get a palindrome (77506460577).

The spelling of 34205210334 in words is "thirty-four billion, two hundred five million, two hundred ten thousand, three hundred thirty-four".