3225849679728 has 400 divisors, whose sum is σ = 10387689312000. Its totient is φ = 959754977280.

The previous prime is 3225849679711. The next prime is 3225849679739. The reversal of 3225849679728 is 8279769485223.

3225849679728 is a `hidden beast` number, since 3 + 2 + 25 + 8 + 496 + 7 + 97 + 28 = 666.

It is a super-2 number, since 2×3225849679728² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1017937728 + ... + 1017940896.

It is an arithmetic number, because the mean of its divisors is an integer number (25969223280).

Almost surely, 2^{3225849679728} 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 3225849679728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193844656000).

3225849679728 is an abundant number, since it is smaller than the sum of its proper divisors (7161839632272).

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

3225849679728 is a wasteful number, since it uses less digits than its factorization.

3225849679728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182 (or 5167 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 3225849679728 in words is "three trillion, two hundred twenty-five billion, eight hundred forty-nine million, six hundred seventy-nine thousand, seven hundred twenty-eight".