3381200900 has 108 divisors (see below), whose sum is σ = 9311185296. Its totient is φ = 1053864000.

The previous prime is 3381200899. The next prime is 3381200929. The reversal of 3381200900 is 90021833.

It is a super-3 number, since 3×3381200900³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3381200900.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22535 + ... + 85265.

Almost surely, 2^3381200900 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 3381200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655592648).

3381200900 is an abundant number, since it is smaller than the sum of its proper divisors (5929984396).

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

3381200900 is a wasteful number, since it uses less digits than its factorization.

3381200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62770 (or 62756 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 3381200900 is about 58148.0945517564. The cubic root of 3381200900 is about 1500.9180898113.

The spelling of 3381200900 in words is "three billion, three hundred eighty-one million, two hundred thousand, nine hundred".