30846312200 has 108 divisors (see below), whose sum is σ = 78900057495. Its totient is φ = 11206905600.

The previous prime is 30846312197. The next prime is 30846312221. The reversal of 30846312200 is 221364803.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 723932836 + 30122379364 = 26906^2 + 173558^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=124190.

It is a super-3 number, since 3×30846312200³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27321236 + ... + 27322364.

Almost surely, 2^30846312200 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 30846312200

30846312200 is an abundant number, since it is smaller than the sum of its proper divisors (48053745295).

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

30846312200 is a wasteful number, since it uses less digits than its factorization.

30846312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 30846312200 in words is "thirty billion, eight hundred forty-six million, three hundred twelve thousand, two hundred".