34005112500 has 144 divisors (see below), whose sum is σ = 99914230080. Its totient is φ = 9000480000.

The previous prime is 34005112499. The next prime is 34005112511. The reversal of 34005112500 is 521150043.

It is a super-2 number, since 2×34005112500² (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 47 ways as a sum of consecutive naturals, for example, 5134191 + ... + 5140809.

It is an arithmetic number, because the mean of its divisors is an integer number (693848820).

Almost surely, 2^34005112500 is an apocalyptic number.

34005112500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34005112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49957115040).

34005112500 is an abundant number, since it is smaller than the sum of its proper divisors (65909117580).

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

34005112500 is a wasteful number, since it uses less digits than its factorization.

34005112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 34005112500 its reverse (521150043), we get a palindrome (34526262543).

The spelling of 34005112500 in words is "thirty-four billion, five million, one hundred twelve thousand, five hundred".