3021085728900 has 432 divisors, whose sum is σ = 9658613146000. Its totient is φ = 789733048320.

The previous prime is 3021085728889. The next prime is 3021085729001. The reversal of 3021085728900 is 98275801203.

It is a happy number.

3021085728900 is a `hidden beast` number, since 302 + 10 + 8 + 57 + 289 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1533159051264 + 1487926677636 = 1238208^2 + 1219806^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6977103084 + ... + 6977103516.

Almost surely, 2^{3021085728900} is an apocalyptic number.

3021085728900 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 3021085728900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829306573000).

3021085728900 is an abundant number, since it is smaller than the sum of its proper divisors (6637527417100).

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

3021085728900 is a wasteful number, since it uses less digits than its factorization.

3021085728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3021085728900 in words is "three trillion, twenty-one billion, eighty-five million, seven hundred twenty-eight thousand, nine hundred".