34130310432 has 96 divisors (see below), whose sum is σ = 94445507520. Its totient is φ = 10762214400.

The previous prime is 34130310391. The next prime is 34130310439. The reversal of 34130310432 is 23401303143.

It is a tau number, because it is divible by the number of its divisors (96).

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 (34130310439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265278 + ... + 1291970.

It is an arithmetic number, because the mean of its divisors is an integer number (983807370).

Almost surely, 2^34130310432 is an apocalyptic number.

34130310432 is a gapful number since it is divisible by the number (32) 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 34130310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47222753760).

34130310432 is an abundant number, since it is smaller than the sum of its proper divisors (60315197088).

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

34130310432 is a wasteful number, since it uses less digits than its factorization.

34130310432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27426 (or 27418 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34130310432 its reverse (23401303143), we get a palindrome (57531613575).

The spelling of 34130310432 in words is "thirty-four billion, one hundred thirty million, three hundred ten thousand, four hundred thirty-two".