34207837168 has 80 divisors (see below), whose sum is σ = 69562690560. Its totient is φ = 16275168000.

The previous prime is 34207837093. The next prime is 34207837193. The reversal of 34207837168 is 86173870243.

It is a happy number.

It is a super-2 number, since 2×34207837168² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9176521 + ... + 9180247.

It is an arithmetic number, because the mean of its divisors is an integer number (869533632).

Almost surely, 2^34207837168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34207837168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34781345280).

34207837168 is an abundant number, since it is smaller than the sum of its proper divisors (35354853392).

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

34207837168 is a wasteful number, since it uses less digits than its factorization.

34207837168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 34207837168 in words is "thirty-four billion, two hundred seven million, eight hundred thirty-seven thousand, one hundred sixty-eight".