3398683200 has 336 divisors, whose sum is σ = 12381707520. Its totient is φ = 809216000.

The previous prime is 3398683199. The next prime is 3398683201. The reversal of 3398683200 is 23868933.

It is an interprime number because it is at equal distance from previous prime (3398683199) and next prime (3398683201).

It is not an unprimeable number, because it can be changed into a prime (3398683201) 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 47 ways as a sum of consecutive naturals, for example, 3114655 + ... + 3115745.

It is an arithmetic number, because the mean of its divisors is an integer number (36850320).

Almost surely, 2^3398683200 is an apocalyptic number.

3398683200 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 3398683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190853760).

3398683200 is an abundant number, since it is smaller than the sum of its proper divisors (8983024320).

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

3398683200 is a wasteful number, since it uses less digits than its factorization.

3398683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3398683200 is about 58298.2263881158. The cubic root of 3398683200 is about 1503.5004471146.

The spelling of 3398683200 in words is "three billion, three hundred ninety-eight million, six hundred eighty-three thousand, two hundred".