3002218800 has 240 divisors, whose sum is σ = 11030127360. Its totient is φ = 683781120.

The previous prime is 3002218789. The next prime is 3002218811. The reversal of 3002218800 is 88122003.

It is an interprime number because it is at equal distance from previous prime (3002218789) and next prime (3002218811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3519174 + ... + 3520026.

It is an arithmetic number, because the mean of its divisors is an integer number (45958864).

Almost surely, 2^3002218800 is an apocalyptic number.

3002218800 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 3002218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515063680).

3002218800 is an abundant number, since it is smaller than the sum of its proper divisors (8027908560).

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

3002218800 is a wasteful number, since it uses less digits than its factorization.

3002218800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3002218800 is about 54792.5067869686. The cubic root of 3002218800 is about 1442.6050452794.

It can be divided in two parts, 300 and 2218800, that multiplied together give a square (665640000 = 25800²).

The spelling of 3002218800 in words is "three billion, two million, two hundred eighteen thousand, eight hundred".