3340005200 has 120 divisors (see below), whose sum is σ = 9238700352. Its totient is φ = 1136655360.

The previous prime is 3340005199. The next prime is 3340005203. The reversal of 3340005200 is 25000433.

It is a super-4 number, since 4×3340005200⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340005203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379247 + ... + 387953.

Almost surely, 2^3340005200 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 3340005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619350176).

3340005200 is an abundant number, since it is smaller than the sum of its proper divisors (5898695152).

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

3340005200 is a wasteful number, since it uses less digits than its factorization.

3340005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 3340005200 is about 57792.7780955372. The cubic root of 3340005200 is about 1494.7975624745.

Adding to 3340005200 its reverse (25000433), we get a palindrome (3365005633).

The spelling of 3340005200 in words is "three billion, three hundred forty million, five thousand, two hundred".