3002283944100 has 729 divisors, whose sum is σ = 11301435605187. Its totient is φ = 664695279360.

The previous prime is 3002283944071. The next prime is 3002283944111. The reversal of 3002283944100 is 14493822003.

The square root of 3002283944100 is 1732710.

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

3002283944100 is a `hidden beast` number, since 3 + 0 + 0 + 228 + 394 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 285008635044 + 2717275309056 = 533862^2 + 1648416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 13463156589 + ... + 13463156811.

Almost surely, 2^{3002283944100} is an apocalyptic number.

3002283944100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3002283944100 is the 1732710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002283944100

3002283944100 is an abundant number, since it is smaller than the sum of its proper divisors (8299151661087).

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

3002283944100 is a wasteful number, since it uses less digits than its factorization.

3002283944100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 3002283944100 by its sum of digits (36), we get a square (108082221987600 = 10396260²).

3002283944100 divided by its sum of digits (36) gives a square (83396776225 = 288785²).

The spelling of 3002283944100 in words is "three trillion, two billion, two hundred eighty-three million, nine hundred forty-four thousand, one hundred".