3222118800 has 540 divisors, whose sum is σ = 12579951280. Its totient is φ = 761425920.

The previous prime is 3222118789. The next prime is 3222118813. The reversal of 3222118800 is 88112223.

It is a super-2 number, since 2×3222118800² = 20764099122626880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19767519 + ... + 19767681.

Almost surely, 2^3222118800 is an apocalyptic number.

3222118800 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 3222118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289975640).

3222118800 is an abundant number, since it is smaller than the sum of its proper divisors (9357832480).

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

3222118800 is a wasteful number, since it uses less digits than its factorization.

3222118800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3222118800 is about 56763.7102381442. The cubic root of 3222118800 is about 1477.0000713567. Note that the first 4 decimals are identical.

The spelling of 3222118800 in words is "three billion, two hundred twenty-two million, one hundred eighteen thousand, eight hundred".