34642320200 has 72 divisors (see below), whose sum is σ = 83225842290. Its totient is φ = 13409856000.

The previous prime is 34642320173. The next prime is 34642320227. The reversal of 34642320200 is 202324643.

It is an interprime number because it is at equal distance from previous prime (34642320173) and next prime (34642320227).

It can be written as a sum of positive squares in 3 ways, for example, as 14782182724 + 19860137476 = 121582^2 + 140926^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34642320200.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102080 + ... + 282320.

Almost surely, 2^34642320200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34642320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41612921145).

34642320200 is an abundant number, since it is smaller than the sum of its proper divisors (48583522090).

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

34642320200 is a wasteful number, since it uses less digits than its factorization.

34642320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180319 (or 180279 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34642320200 its reverse (202324643), we get a palindrome (34844644843).

The spelling of 34642320200 in words is "thirty-four billion, six hundred forty-two million, three hundred twenty thousand, two hundred".