34198000400 has 60 divisors (see below), whose sum is σ = 82213553844. Its totient is φ = 13670400000.

The previous prime is 34198000391. The next prime is 34198000427. The reversal of 34198000400 is 400089143.

It can be written as a sum of positive squares in 6 ways, for example, as 92775424 + 34105224976 = 9632^2 + 184676^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 613700 + ... + 667100.

Almost surely, 2^34198000400 is an apocalyptic number.

It is an amenable number.

34198000400 is an abundant number, since it is smaller than the sum of its proper divisors (48015553444).

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

34198000400 is a wasteful number, since it uses less digits than its factorization.

34198000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55020 (or 55009 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 34198000400 its reverse (400089143), we get a palindrome (34598089543).

The spelling of 34198000400 in words is "thirty-four billion, one hundred ninety-eight million, four hundred", and thus it is an aban number.