3005228635200 has 2016 divisors, whose sum is σ = 12477616619520. Its totient is φ = 679311360000.

The previous prime is 3005228635181. The next prime is 3005228635219. The reversal of 3005228635200 is 25368225003.

3005228635200 is a `hidden beast` number, since 3 + 0 + 0 + 52 + 2 + 86 + 3 + 520 + 0 = 666.

3005228635200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3005228635181) and next prime (3005228635219).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23663217537 + ... + 23663217663.

Almost surely, 2^{3005228635200} is an apocalyptic number.

3005228635200 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 3005228635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238808309760).

3005228635200 is an abundant number, since it is smaller than the sum of its proper divisors (9472387984320).

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

3005228635200 is a wasteful number, since it uses less digits than its factorization.

3005228635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3005228635200 in words is "three trillion, five billion, two hundred twenty-eight million, six hundred thirty-five thousand, two hundred".