3322441800 has 288 divisors, whose sum is σ = 11678940000. Its totient is φ = 877754880.

The previous prime is 3322441789. The next prime is 3322441819. The reversal of 3322441800 is 81442233.

It is a super-2 number, since 2×3322441800² = 22077239028774480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6657951 + ... + 6658449.

It is an arithmetic number, because the mean of its divisors is an integer number (40551875).

Almost surely, 2^3322441800 is an apocalyptic number.

3322441800 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 3322441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839470000).

3322441800 is an abundant number, since it is smaller than the sum of its proper divisors (8356498200).

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

3322441800 is a wasteful number, since it uses less digits than its factorization.

3322441800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3322441800 is about 57640.6262977772. The cubic root of 3322441800 is about 1492.1728279599.

The spelling of 3322441800 in words is "three billion, three hundred twenty-two million, four hundred forty-one thousand, eight hundred".