34103540200 has 192 divisors, whose sum is σ = 87069427200. Its totient is φ = 12366643200.

The previous prime is 34103540197. The next prime is 34103540201. The reversal of 34103540200 is 204530143.

It is not an unprimeable number, because it can be changed into a prime (34103540201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27087171 + ... + 27088429.

It is an arithmetic number, because the mean of its divisors is an integer number (453486600).

Almost surely, 2^34103540200 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 34103540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43534713600).

34103540200 is an abundant number, since it is smaller than the sum of its proper divisors (52965887000).

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

34103540200 is a wasteful number, since it uses less digits than its factorization.

34103540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 34103540200 in words is "thirty-four billion, one hundred three million, five hundred forty thousand, two hundred".