3240586240 has 176 divisors, whose sum is σ = 8503467264. Its totient is φ = 1179648000.

The previous prime is 3240586231. The next prime is 3240586273. The reversal of 3240586240 is 426850423.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3240586196 and 3240586205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2697640 + ... + 2698840.

Almost surely, 2^3240586240 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 3240586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251733632).

3240586240 is an abundant number, since it is smaller than the sum of its proper divisors (5262881024).

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

3240586240 is a wasteful number, since it uses less digits than its factorization.

3240586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 3240586240 is about 56926.1472435998. The cubic root of 3240586240 is about 1479.8164856462.

The spelling of 3240586240 in words is "three billion, two hundred forty million, five hundred eighty-six thousand, two hundred forty".