3205030005200 has 120 divisors (see below), whose sum is σ = 7759103075352. Its totient is φ = 1272192655360.

The previous prime is 3205030005179. The next prime is 3205030005217. The reversal of 3205030005200 is 25000305023.

3205030005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 27823574416 + 3177206430784 = 166804^2 + 1782472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178474622 + ... + 178492578.

Almost surely, 2^{3205030005200} 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 3205030005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879551537676).

3205030005200 is an abundant number, since it is smaller than the sum of its proper divisors (4554073070152).

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

3205030005200 is a wasteful number, since it uses less digits than its factorization.

3205030005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21369 (or 21358 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The spelling of 3205030005200 in words is "three trillion, two hundred five billion, thirty million, five thousand, two hundred".