3338098200 has 144 divisors (see below), whose sum is σ = 11251776120. Its totient is φ = 886878720.

The previous prime is 3338098139. The next prime is 3338098207. The reversal of 3338098200 is 28908333.

It is a super-2 number, since 2×3338098200² = 22285799185686480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3338098207) 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 35 ways as a sum of consecutive naturals, for example, 506124 + ... + 512676.

Almost surely, 2^3338098200 is an apocalyptic number.

3338098200 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 3338098200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625888060).

3338098200 is an abundant number, since it is smaller than the sum of its proper divisors (7913677920).

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

3338098200 is a wasteful number, since it uses less digits than its factorization.

3338098200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3338098200 is about 57776.2771386319. The cubic root of 3338098200 is about 1494.5130198393.

The spelling of 3338098200 in words is "three billion, three hundred thirty-eight million, ninety-eight thousand, two hundred".