34605346050 has 144 divisors (see below), whose sum is σ = 101568186720. Its totient is φ = 8377344000.

The previous prime is 34605346031. The next prime is 34605346241. The reversal of 34605346050 is 5064350643.

34605346050 is a `hidden beast` number, since 3 + 4 + 60 + 534 + 60 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34605345996 and 34605346014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3802005 + ... + 3811095.

It is an arithmetic number, because the mean of its divisors is an integer number (705334630).

Almost surely, 2^34605346050 is an apocalyptic number.

34605346050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34605346050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50784093360).

34605346050 is an abundant number, since it is smaller than the sum of its proper divisors (66962840670).

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

34605346050 is a wasteful number, since it uses less digits than its factorization.

34605346050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9889 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 34605346050 its reverse (5064350643), we get a palindrome (39669696693).

The spelling of 34605346050 in words is "thirty-four billion, six hundred five million, three hundred forty-six thousand, fifty".