3428757228288 has 1728 divisors, whose sum is σ = 12502333670400. Its totient is φ = 825423298560.

The previous prime is 3428757228283. The next prime is 3428757228361. The reversal of 3428757228288 is 8828227578243.

It is a super-2 number, since 2×3428757228288² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3428757228283) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 25027424956 + ... + 25027425092.

It is an arithmetic number, because the mean of its divisors is an integer number (7235146800).

Almost surely, 2^{3428757228288} is an apocalyptic number.

3428757228288 is a gapful number since it is divisible by the number (38) 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 3428757228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251166835200).

3428757228288 is an abundant number, since it is smaller than the sum of its proper divisors (9073576442112).

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

3428757228288 is a wasteful number, since it uses less digits than its factorization.

3428757228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its digits is 192675840, while the sum is 66.

The spelling of 3428757228288 in words is "three trillion, four hundred twenty-eight billion, seven hundred fifty-seven million, two hundred twenty-eight thousand, two hundred eighty-eight".