3208728856032 has 576 divisors, whose sum is σ = 10864264320000. Its totient is φ = 897687124992.

The previous prime is 3208728856027. The next prime is 3208728856087. The reversal of 3208728856032 is 2306588278023.

3208728856032 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 7 + 28 + 8 + 5 + 603 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3208728856032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1707678069 + ... + 1707679947.

It is an arithmetic number, because the mean of its divisors is an integer number (18861570000).

Almost surely, 2^{3208728856032} is an apocalyptic number.

3208728856032 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 3208728856032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432132160000).

3208728856032 is an abundant number, since it is smaller than the sum of its proper divisors (7655535463968).

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

3208728856032 is a wasteful number, since it uses less digits than its factorization.

3208728856032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3208728856032 in words is "three trillion, two hundred eight billion, seven hundred twenty-eight million, eight hundred fifty-six thousand, thirty-two".