34130400432 has 20 divisors (see below), whose sum is σ = 88170201240. Its totient is φ = 11376800128.

The previous prime is 34130400413. The next prime is 34130400439. The reversal of 34130400432 is 23400403143.

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 (34130400439) 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 3 ways as a sum of consecutive naturals, for example, 355524957 + ... + 355525052.

It is an arithmetic number, because the mean of its divisors is an integer number (4408510062).

Almost surely, 2^34130400432 is an apocalyptic number.

It is an amenable number.

34130400432 is an abundant number, since it is smaller than the sum of its proper divisors (54039800808).

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

34130400432 is a wasteful number, since it uses less digits than its factorization.

34130400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711050020 (or 711050014 counting only the distinct ones).

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

Adding to 34130400432 its reverse (23400403143), we get a palindrome (57530803575).

The spelling of 34130400432 in words is "thirty-four billion, one hundred thirty million, four hundred thousand, four hundred thirty-two".