3012982200 has 144 divisors (see below), whose sum is σ = 10150667280. Its totient is φ = 800916480.

The previous prime is 3012982183. The next prime is 3012982229. The reversal of 3012982200 is 22892103.

It is a happy number.

It is a super-3 number, since 3×3012982200³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 604117 + ... + 609083.

It is an arithmetic number, because the mean of its divisors is an integer number (70490745).

Almost surely, 2^3012982200 is an apocalyptic number.

3012982200 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 3012982200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075333640).

3012982200 is an abundant number, since it is smaller than the sum of its proper divisors (7137685080).

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

3012982200 is a wasteful number, since it uses less digits than its factorization.

3012982200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3012982200 is about 54890.6385461128. The cubic root of 3012982200 is about 1444.3269735281.

The spelling of 3012982200 in words is "three billion, twelve million, nine hundred eighty-two thousand, two hundred".