3345005200 has 60 divisors (see below), whose sum is σ = 8064085428. Its totient is φ = 1333388800.

The previous prime is 3345005159. The next prime is 3345005249. The reversal of 3345005200 is 25005433.

It can be written as a sum of positive squares in 6 ways, for example, as 2304 + 3345002896 = 48^2 + 57836^2 .

It is a super-2 number, since 2×3345005200² = 22378119576054080000, which contains 22 as substring.

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, 102930 + ... + 131470.

Almost surely, 2^3345005200 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 3345005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032042714).

3345005200 is an abundant number, since it is smaller than the sum of its proper divisors (4719080228).

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

3345005200 is a wasteful number, since it uses less digits than its factorization.

3345005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28852 (or 28841 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 3345005200 is about 57836.0199183865. The cubic root of 3345005200 is about 1495.5430963819.

The spelling of 3345005200 in words is "three billion, three hundred forty-five million, five thousand, two hundred".