3205238164128 has 2304 divisors, whose sum is σ = 13192770060288. Its totient is φ = 711659520000.

The previous prime is 3205238164111. The next prime is 3205238164147. The reversal of 3205238164128 is 8214618325023.

3205238164128 is a `hidden beast` number, since 3 + 2 + 0 + 523 + 81 + 6 + 41 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 31735031278 + ... + 31735031378.

It is an arithmetic number, because the mean of its divisors is an integer number (5726028672).

Almost surely, 2^{3205238164128} 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 3205238164128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596385030144).

3205238164128 is an abundant number, since it is smaller than the sum of its proper divisors (9987531896160).

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

3205238164128 is a wasteful number, since it uses less digits than its factorization.

3205238164128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3205238164128 in words is "three trillion, two hundred five billion, two hundred thirty-eight million, one hundred sixty-four thousand, one hundred twenty-eight".