3004080393600 has 3072 divisors, whose sum is σ = 13871112192000. Its totient is φ = 624070656000.

The previous prime is 3004080393583. The next prime is 3004080393641. The reversal of 3004080393600 is 63930804003.

3004080393600 is a `hidden beast` number, since 3 + 0 + 0 + 40 + 8 + 0 + 3 + 9 + 3 + 600 = 666.

It is a super-2 number, since 2×3004080393600² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15728169505 + ... + 15728169695.

It is an arithmetic number, because the mean of its divisors is an integer number (4515336000).

Almost surely, 2^{3004080393600} is an apocalyptic number.

3004080393600 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 3004080393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935556096000).

3004080393600 is an abundant number, since it is smaller than the sum of its proper divisors (10867031798400).

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

3004080393600 is a wasteful number, since it uses less digits than its factorization.

3004080393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3004080393600 in words is "three trillion, four billion, eighty million, three hundred ninety-three thousand, six hundred".