34338052242 has 96 divisors (see below), whose sum is σ = 87128404272. Its totient is φ = 9675251712.

The previous prime is 34338052241. The next prime is 34338052249. The reversal of 34338052242 is 24225083343.

34338052242 is a `hidden beast` number, since 34 + 3 + 380 + 5 + 2 + 242 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31262129721 + 3075922521 = 176811^2 + 55461^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34338052197 and 34338052206.

It is not an unprimeable number, because it can be changed into a prime (34338052241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30538 + ... + 263834.

Almost surely, 2^34338052242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34338052242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43564202136).

34338052242 is an abundant number, since it is smaller than the sum of its proper divisors (52790352030).

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

34338052242 is a wasteful number, since it uses less digits than its factorization.

34338052242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233372 (or 233369 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34338052242 in words is "thirty-four billion, three hundred thirty-eight million, fifty-two thousand, two hundred forty-two".