3026828641600 has 126 divisors (see below), whose sum is σ = 7695898805022. Its totient is φ = 1171675008000.

The previous prime is 3026828641567. The next prime is 3026828641607. The reversal of 3026828641600 is 61468286203.

It can be written as a sum of positive squares in 3 ways, for example, as 82474649856 + 2944353991744 = 287184^2 + 1715912^2 .

It is a super-2 number, since 2×3026828641600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3026828641607) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 553330 + ... + 2521870.

Almost surely, 2^{3026828641600} 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 3026828641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847949402511).

3026828641600 is an abundant number, since it is smaller than the sum of its proper divisors (4669070163422).

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

3026828641600 is a wasteful number, since it uses less digits than its factorization.

3026828641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968625 (or 1968579 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 3026828641600 in words is "three trillion, twenty-six billion, eight hundred twenty-eight million, six hundred forty-one thousand, six hundred".