3004329763044 has 576 divisors, whose sum is σ = 8622725529600. Its totient is φ = 878914713600.

The previous prime is 3004329763021. The next prime is 3004329763049. The reversal of 3004329763044 is 4403679234003.

3004329763044 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 3 + 2 + 9 + 7 + 630 + 4 + 4 = 666.

It is a super-2 number, since 2×3004329763044² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3004329763049) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4178483317 + ... + 4178484035.

It is an arithmetic number, because the mean of its divisors is an integer number (14970009600).

Almost surely, 2^{3004329763044} 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 3004329763044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311362764800).

3004329763044 is an abundant number, since it is smaller than the sum of its proper divisors (5618395766556).

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

3004329763044 is a wasteful number, since it uses less digits than its factorization.

3004329763044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 3004329763044 in words is "three trillion, four billion, three hundred twenty-nine million, seven hundred sixty-three thousand, forty-four".