3227872152960 has 2048 divisors, whose sum is σ = 15160836096000. Its totient is φ = 630201876480.

The previous prime is 3227872152887. The next prime is 3227872153001. The reversal of 3227872152960 is 692512787223.

3227872152960 is a `hidden beast` number, since 3 + 2 + 278 + 72 + 15 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3227872152897 and 3227872152906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1121176801 + ... + 1121179679.

It is an arithmetic number, because the mean of its divisors is an integer number (7402752000).

Almost surely, 2^{3227872152960} is an apocalyptic number.

3227872152960 is a gapful number since it is divisible by the number (30) 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 3227872152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580418048000).

3227872152960 is an abundant number, since it is smaller than the sum of its proper divisors (11932963943040).

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

3227872152960 is a wasteful number, since it uses less digits than its factorization.

3227872152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3227872152960 in words is "three trillion, two hundred twenty-seven billion, eight hundred seventy-two million, one hundred fifty-two thousand, nine hundred sixty".