3004211100 has 144 divisors (see below), whose sum is σ = 10040357376. Its totient is φ = 685440000.

The previous prime is 3004211069. The next prime is 3004211141. The reversal of 3004211100 is 11124003.

It is a happy number.

3004211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29325 + ... + 82875.

It is an arithmetic number, because the mean of its divisors is an integer number (69724704).

Almost surely, 2^3004211100 is an apocalyptic number.

3004211100 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 3004211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020178688).

3004211100 is an abundant number, since it is smaller than the sum of its proper divisors (7036146276).

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

3004211100 is a wasteful number, since it uses less digits than its factorization.

3004211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53596 (or 53589 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3004211100 is about 54810.6841774485. The cubic root of 3004211100 is about 1442.9240833751.

Adding to 3004211100 its reverse (11124003), we get a palindrome (3015335103).

The spelling of 3004211100 in words is "three billion, four million, two hundred eleven thousand, one hundred".