34134200232 has 128 divisors (see below), whose sum is σ = 94671313920. Its totient is φ = 10169280000.

The previous prime is 34134200201. The next prime is 34134200239. The reversal of 34134200232 is 23200243143.

It is a super-3 number, since 3×34134200232³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34134200239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6376357 + ... + 6381707.

It is an arithmetic number, because the mean of its divisors is an integer number (739619640).

Almost surely, 2^34134200232 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 34134200232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47335656960).

34134200232 is an abundant number, since it is smaller than the sum of its proper divisors (60537113688).

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

34134200232 is a wasteful number, since it uses less digits than its factorization.

34134200232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34134200232 its reverse (23200243143), we get a palindrome (57334443375).

The spelling of 34134200232 in words is "thirty-four billion, one hundred thirty-four million, two hundred thousand, two hundred thirty-two".