3004115114000 has 1280 divisors, whose sum is σ = 10023918428160. Its totient is φ = 840729600000.

The previous prime is 3004115113999. The next prime is 3004115114003. The reversal of 3004115114000 is 4115114003.

It is a happy number.

3004115114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3004115114000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3004115114003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16782765911 + ... + 16782766089.

It is an arithmetic number, because the mean of its divisors is an integer number (7831186272).

Almost surely, 2^{3004115114000} 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 3004115114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011959214080).

3004115114000 is an abundant number, since it is smaller than the sum of its proper divisors (7019803314160).

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

3004115114000 is a wasteful number, since it uses less digits than its factorization.

3004115114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 3004115114000 in words is "three trillion, four billion, one hundred fifteen million, one hundred fourteen thousand".