3345536208 has 160 divisors (see below), whose sum is σ = 10415333376. Its totient is φ = 904679424.

The previous prime is 3345536203. The next prime is 3345536209. The reversal of 3345536208 is 8026355433.

It is a super-3 number, since 3×3345536208³ (a number of 30 digits) contains 333 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 (3345536203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747385 + ... + 751847.

Almost surely, 2^3345536208 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 3345536208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207666688).

3345536208 is an abundant number, since it is smaller than the sum of its proper divisors (7069797168).

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

3345536208 is a wasteful number, since it uses less digits than its factorization.

3345536208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 3345536208 is about 57840.6103702234. The cubic root of 3345536208 is about 1495.6222296250.

The spelling of 3345536208 in words is "three billion, three hundred forty-five million, five hundred thirty-six thousand, two hundred eight".