3300200100 has 108 divisors (see below), whose sum is σ = 10460775780. Its totient is φ = 870144000.

The previous prime is 3300200069. The next prime is 3300200129. The reversal of 3300200100 is 10020033.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42302016 + 3257898084 = 6504^2 + 57078^2 .

It is a super-3 number, since 3×3300200100³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 59500 + ... + 100700.

It is an arithmetic number, because the mean of its divisors is an integer number (96859035).

Almost surely, 2^3300200100 is an apocalyptic number.

3300200100 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 3300200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230387890).

3300200100 is an abundant number, since it is smaller than the sum of its proper divisors (7160575680).

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

3300200100 is a wasteful number, since it uses less digits than its factorization.

3300200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41310 (or 41300 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3300200100 is about 57447.3680859271. The cubic root of 3300200100 is about 1488.8356442639.

Adding to 3300200100 its reverse (10020033), we get a palindrome (3310220133).

The spelling of 3300200100 in words is "three billion, three hundred million, two hundred thousand, one hundred".