3323214400 has 336 divisors, whose sum is σ = 9796515840. Its totient is φ = 1095270400.

The previous prime is 3323214379. The next prime is 3323214403. The reversal of 3323214400 is 44123233.

It is a happy number.

It is a super-2 number, since 2×3323214400² = 22087507896734720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3323214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8676609 + ... + 8676991.

Almost surely, 2^3323214400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898257920).

3323214400 is an abundant number, since it is smaller than the sum of its proper divisors (6473301440).

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

3323214400 is a wasteful number, since it uses less digits than its factorization.

3323214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3323214400 is about 57647.3277784842. The cubic root of 3323214400 is about 1492.2884821931.

Adding to 3323214400 its reverse (44123233), we get a palindrome (3367337633).

The spelling of 3323214400 in words is "three billion, three hundred twenty-three million, two hundred fourteen thousand, four hundred".