34456500342 has 192 divisors, whose sum is σ = 89278525440. Its totient is φ = 9489830400.

The previous prime is 34456500317. The next prime is 34456500347. The reversal of 34456500342 is 24300565443.

It is a super-2 number, since 2×34456500342² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34456500297 and 34456500306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34456500347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10159467 + ... + 10162857.

It is an arithmetic number, because the mean of its divisors is an integer number (464992320).

Almost surely, 2^34456500342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34456500342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44639262720).

34456500342 is an abundant number, since it is smaller than the sum of its proper divisors (54822025098).

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

34456500342 is a wasteful number, since it uses less digits than its factorization.

34456500342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34456500342 in words is "thirty-four billion, four hundred fifty-six million, five hundred thousand, three hundred forty-two".