34198068200 has 24 divisors (see below), whose sum is σ = 79510509030. Its totient is φ = 13679227200.

The previous prime is 34198068193. The next prime is 34198068227. The reversal of 34198068200 is 286089143.

It can be written as a sum of positive squares in 3 ways, for example, as 31181202724 + 3016865476 = 176582^2 + 54926^2 .

It is a super-2 number, since 2×34198068200² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85494971 + ... + 85495370.

Almost surely, 2^34198068200 is an apocalyptic number.

It is an amenable number.

34198068200 is an abundant number, since it is smaller than the sum of its proper divisors (45312440830).

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

34198068200 is a wasteful number, since it uses less digits than its factorization.

34198068200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170990357 (or 170990348 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 34198068200 in words is "thirty-four billion, one hundred ninety-eight million, sixty-eight thousand, two hundred".