3343046400 has 324 divisors, whose sum is σ = 12072616192. Its totient is φ = 882524160.

The previous prime is 3343046393. The next prime is 3343046407. The reversal of 3343046400 is 46403433.

It is an interprime number because it is at equal distance from previous prime (3343046393) and next prime (3343046407).

It is a super-2 number, since 2×3343046400² = 22351918465105920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343046407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7314972 + ... + 7315428.

Almost surely, 2^3343046400 is an apocalyptic number.

3343046400 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 3343046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036308096).

3343046400 is an abundant number, since it is smaller than the sum of its proper divisors (8729569792).

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

3343046400 is a wasteful number, since it uses less digits than its factorization.

3343046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3343046400 is about 57819.0833548924. The cubic root of 3343046400 is about 1495.2511145911.

Adding to 3343046400 its reverse (46403433), we get a palindrome (3389449833).

The spelling of 3343046400 in words is "three billion, three hundred forty-three million, forty-six thousand, four hundred".