34106717142 has 160 divisors (see below), whose sum is σ = 81566901504. Its totient is φ = 10632902400.

The previous prime is 34106717131. The next prime is 34106717147. The reversal of 34106717142 is 24171760143.

It is a junction number, because it is equal to n+sod(n) for n = 34106717097 and 34106717106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106717147) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32145292 + ... + 32146352.

Almost surely, 2^34106717142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106717142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40783450752).

34106717142 is an abundant number, since it is smaller than the sum of its proper divisors (47460184362).

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

34106717142 is a wasteful number, since it uses less digits than its factorization.

34106717142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 34106717142 in words is "thirty-four billion, one hundred six million, seven hundred seventeen thousand, one hundred forty-two".