3343341600 has 216 divisors, whose sum is σ = 11952836532. Its totient is φ = 879206400.

The previous prime is 3343341587. The next prime is 3343341611. The reversal of 3343341600 is 61433433.

It can be written as a sum of positive squares in 6 ways, for example, as 897841296 + 2445500304 = 29964^2 + 49452^2 .

It is a super-2 number, since 2×3343341600² = 22355866108581120000, which contains 22 as substring.

It is an unprimeable number.

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, 522420 + ... + 528780.

Almost surely, 2^3343341600 is an apocalyptic number.

3343341600 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 3343341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976418266).

3343341600 is an abundant number, since it is smaller than the sum of its proper divisors (8609494932).

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

3343341600 is a wasteful number, since it uses less digits than its factorization.

3343341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3343341600 is about 57821.6360889244. The cubic root of 3343341600 is about 1495.2951248624.

The spelling of 3343341600 in words is "three billion, three hundred forty-three million, three hundred forty-one thousand, six hundred".