34400042130 has 64 divisors (see below), whose sum is σ = 89276567040. Its totient is φ = 8450033664.

The previous prime is 34400042129. The next prime is 34400042141. The reversal of 34400042130 is 3124000443.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34400042097 and 34400042106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693595 + ... + 741534.

It is an arithmetic number, because the mean of its divisors is an integer number (1394946360).

Almost surely, 2^34400042130 is an apocalyptic number.

34400042130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34400042130 is an abundant number, since it is smaller than the sum of its proper divisors (54876524910).

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

34400042130 is a wasteful number, since it uses less digits than its factorization.

34400042130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435203.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34400042130 its reverse (3124000443), we get a palindrome (37524042573).

The spelling of 34400042130 in words is "thirty-four billion, four hundred million, forty-two thousand, one hundred thirty".