3027213000 has 640 divisors, whose sum is σ = 12775276800. Its totient is φ = 653184000.

The previous prime is 3027212999. The next prime is 3027213037. The reversal of 3027213000 is 3127203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 10772860 + ... + 10773140.

It is an arithmetic number, because the mean of its divisors is an integer number (19961370).

Almost surely, 2^3027213000 is an apocalyptic number.

3027213000 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 3027213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387638400).

3027213000 is an abundant number, since it is smaller than the sum of its proper divisors (9748063800).

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

3027213000 is a wasteful number, since it uses less digits than its factorization.

3027213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3027213000 is about 55020.1145036976. The cubic root of 3027213000 is about 1446.5973324550.

The spelling of 3027213000 in words is "three billion, twenty-seven million, two hundred thirteen thousand".