34000138350 has 36 divisors (see below), whose sum is σ = 91347039576. Its totient is φ = 9066703440.

The previous prime is 34000138349. The next prime is 34000138351. The reversal of 34000138350 is 5383100043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34000138349) and next prime (34000138351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000138351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37777482 + ... + 37778381.

It is an arithmetic number, because the mean of its divisors is an integer number (2537417766).

Almost surely, 2^34000138350 is an apocalyptic number.

34000138350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34000138350 is an abundant number, since it is smaller than the sum of its proper divisors (57346901226).

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

34000138350 is a wasteful number, since it uses less digits than its factorization.

34000138350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75555881 (or 75555873 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34000138350 its reverse (5383100043), we get a palindrome (39383238393).

The spelling of 34000138350 in words is "thirty-four billion, one hundred thirty-eight thousand, three hundred fifty".