3258606402432 has 320 divisors, whose sum is σ = 10213666531200. Its totient is φ = 1028458238976.

The previous prime is 3258606402419. The next prime is 3258606402439. The reversal of 3258606402432 is 2342046068523.

3258606402432 is a `hidden beast` number, since 3 + 2 + 5 + 8 + 606 + 4 + 0 + 2 + 4 + 32 = 666.

3258606402432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3258606402439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 477308203 + ... + 477315029.

It is an arithmetic number, because the mean of its divisors is an integer number (31917707910).

Almost surely, 2^{3258606402432} is an apocalyptic number.

3258606402432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3258606402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106833265600).

3258606402432 is an abundant number, since it is smaller than the sum of its proper divisors (6955060128768).

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

3258606402432 is a wasteful number, since it uses less digits than its factorization.

3258606402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 3258606402432 in words is "three trillion, two hundred fifty-eight billion, six hundred six million, four hundred two thousand, four hundred thirty-two".