34605260200 has 144 divisors (see below), whose sum is σ = 94504531680. Its totient is φ = 11749127040.

The previous prime is 34605260153. The next prime is 34605260257. The reversal of 34605260200 is 206250643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 992259 + ... + 1026541.

It is an arithmetic number, because the mean of its divisors is an integer number (656281470).

Almost surely, 2^34605260200 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 34605260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47252265840).

34605260200 is an abundant number, since it is smaller than the sum of its proper divisors (59899271480).

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

34605260200 is a wasteful number, since it uses less digits than its factorization.

34605260200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34416 (or 34400 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 34605260200 in words is "thirty-four billion, six hundred five million, two hundred sixty thousand, two hundred".