3004379411040 has 1008 divisors, whose sum is σ = 12837236838048. Its totient is φ = 650508558336.

The previous prime is 3004379411027. The next prime is 3004379411081. The reversal of 3004379411040 is 401149734003.

3004379411040 is a `hidden beast` number, since 30 + 0 + 437 + 94 + 1 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3004379410986 and 3004379411004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 294744184 + ... + 294754376.

It is an arithmetic number, because the mean of its divisors is an integer number (12735354006).

Almost surely, 2^{3004379411040} is an apocalyptic number.

3004379411040 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 3004379411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418618419024).

3004379411040 is an abundant number, since it is smaller than the sum of its proper divisors (9832857427008).

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

3004379411040 is a wasteful number, since it uses less digits than its factorization.

3004379411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3004379411040 in words is "three trillion, four billion, three hundred seventy-nine million, four hundred eleven thousand, forty".