3343414400 has 96 divisors (see below), whose sum is σ = 8285831280. Its totient is φ = 1333068800.

The previous prime is 3343414351. The next prime is 3343414411. The reversal of 3343414400 is 44143433.

It is a super-2 number, since 2×3343414400² = 22356839700254720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3343414400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108895 + ... + 1111905.

Almost surely, 2^3343414400 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 3343414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142915640).

3343414400 is an abundant number, since it is smaller than the sum of its proper divisors (4942416880).

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

3343414400 is a wasteful number, since it uses less digits than its factorization.

3343414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3343414400 is about 57822.2656076360. The cubic root of 3343414400 is about 1495.3059779457.

Adding to 3343414400 its reverse (44143433), we get a palindrome (3387557833).

The spelling of 3343414400 in words is "three billion, three hundred forty-three million, four hundred fourteen thousand, four hundred".