3422324400 has 480 divisors, whose sum is σ = 12873033216. Its totient is φ = 768000000.

The previous prime is 3422324369. The next prime is 3422324401. The reversal of 3422324400 is 44232243.

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

It is not an unprimeable number, because it can be changed into a prime (3422324401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 22664325 + ... + 22664475.

Almost surely, 2^3422324400 is an apocalyptic number.

3422324400 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 3422324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436516608).

3422324400 is an abundant number, since it is smaller than the sum of its proper divisors (9450708816).

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

3422324400 is a wasteful number, since it uses less digits than its factorization.

3422324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3422324400 is about 58500.6358939798. The cubic root of 3422324400 is about 1506.9785055146.

Adding to 3422324400 its reverse (44232243), we get a palindrome (3466556643).

The spelling of 3422324400 in words is "three billion, four hundred twenty-two million, three hundred twenty-four thousand, four hundred".