3004106112 has 288 divisors, whose sum is σ = 10589038200. Its totient is φ = 812851200.

The previous prime is 3004106111. The next prime is 3004106123. The reversal of 3004106112 is 2116014003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3004106112³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004106111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1071112 + ... + 1073912.

Almost surely, 2^3004106112 is an apocalyptic number.

3004106112 is a gapful number since it is divisible by the number (32) 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 3004106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294519100).

3004106112 is an abundant number, since it is smaller than the sum of its proper divisors (7584932088).

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

3004106112 is a wasteful number, since it uses less digits than its factorization.

3004106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3004106112 is about 54809.7264360989. The cubic root of 3004106112 is about 1442.9072745831.

The spelling of 3004106112 in words is "three billion, four million, one hundred six thousand, one hundred twelve".