3322405200 has 480 divisors, whose sum is σ = 12042729216. Its totient is φ = 778567680.

The previous prime is 3322405187. The next prime is 3322405211. The reversal of 3322405200 is 25042233.

It is a super-2 number, since 2×3322405200² = 22076752625974080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34251552 + ... + 34251648.

Almost surely, 2^3322405200 is an apocalyptic number.

3322405200 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 3322405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021364608).

3322405200 is an abundant number, since it is smaller than the sum of its proper divisors (8720324016).

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

3322405200 is a wasteful number, since it uses less digits than its factorization.

3322405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3322405200 is about 57640.3088124968. The cubic root of 3322405200 is about 1492.1673486839.

Adding to 3322405200 its reverse (25042233), we get a palindrome (3347447433).

The spelling of 3322405200 in words is "three billion, three hundred twenty-two million, four hundred five thousand, two hundred".