3600120258 has 72 divisors (see below), whose sum is σ = 9082831212. Its totient is φ = 1027579392.

The previous prime is 3600120257. The next prime is 3600120263. The reversal of 3600120258 is 8520210063.

3600120258 is a `hidden beast` number, since 3 + 600 + 1 + 2 + 0 + 2 + 58 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3599640009 + 480249 = 59997^2 + 693^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3600120257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1566166 + ... + 1568462.

Almost surely, 2^3600120258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3600120258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541415606).

3600120258 is an abundant number, since it is smaller than the sum of its proper divisors (5482710954).

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

3600120258 is a wasteful number, since it uses less digits than its factorization.

3600120258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3600120258 is about 60001.0021416309. The cubic root of 3600120258 is about 1532.6359303081.

The spelling of 3600120258 in words is "three billion, six hundred million, one hundred twenty thousand, two hundred fifty-eight".