3320430400 has 168 divisors, whose sum is σ = 9660453120. Its totient is φ = 1099069440.

The previous prime is 3320430359. The next prime is 3320430401. The reversal of 3320430400 is 40340233.

It is a super-2 number, since 2×3320430400² = 22050516082488320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320430401) 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 23 ways as a sum of consecutive naturals, for example, 319689 + ... + 329911.

Almost surely, 2^3320430400 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 3320430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830226560).

3320430400 is an abundant number, since it is smaller than the sum of its proper divisors (6340022720).

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

3320430400 is a wasteful number, since it uses less digits than its factorization.

3320430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10281 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 3320430400 is about 57623.1758930380. The cubic root of 3320430400 is about 1491.8716476350.

Adding to 3320430400 its reverse (40340233), we get a palindrome (3360770633).

The spelling of 3320430400 in words is "three billion, three hundred twenty million, four hundred thirty thousand, four hundred".