3085608428100 has 243 divisors, whose sum is σ = 10632839428029. Its totient is φ = 747885758400.

The previous prime is 3085608428093. The next prime is 3085608428101. The reversal of 3085608428100 is 18248065803.

The square root of 3085608428100 is 1756590.

It is a perfect power (a square), and thus also a powerful number.

3085608428100 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 608 + 4 + 28 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1110819034116 + 1974789393984 = 1053954^2 + 1405272^2 .

It is a super-2 number, since 2×3085608428100² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3085608428101) 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 80 ways as a sum of consecutive naturals, for example, 579672039 + ... + 579677361.

Almost surely, 2^{3085608428100} is an apocalyptic number.

3085608428100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3085608428100 is the 1756590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085608428100

3085608428100 is an abundant number, since it is smaller than the sum of its proper divisors (7547230999929).

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

3085608428100 is a wasteful number, since it uses less digits than its factorization.

3085608428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 3085608428100 in words is "three trillion, eighty-five billion, six hundred eight million, four hundred twenty-eight thousand, one hundred".