34206205000 has 160 divisors (see below), whose sum is σ = 87754534560. Its totient is φ = 12392640000.

The previous prime is 34206204983. The next prime is 34206205031. The reversal of 34206205000 is 50260243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17214007 + ... + 17215993.

It is an arithmetic number, because the mean of its divisors is an integer number (548465841).

Almost surely, 2^34206205000 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 34206205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43877267280).

34206205000 is an abundant number, since it is smaller than the sum of its proper divisors (53548329560).

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

34206205000 is a wasteful number, since it uses less digits than its factorization.

34206205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2318 counting only the distinct ones).

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

Adding to 34206205000 its reverse (50260243), we get a palindrome (34256465243).

The spelling of 34206205000 in words is "thirty-four billion, two hundred six million, two hundred five thousand".