3004972908000 has 1536 divisors, whose sum is σ = 12188717678592. Its totient is φ = 632282112000.

The previous prime is 3004972907999. The next prime is 3004972908031. The reversal of 3004972908000 is 8092794003.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9078467835 + ... + 9078468165.

It is an arithmetic number, because the mean of its divisors is an integer number (7935363072).

Almost surely, 2^{3004972908000} is an apocalyptic number.

3004972908000 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 3004972908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094358839296).

3004972908000 is an abundant number, since it is smaller than the sum of its proper divisors (9183744770592).

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

3004972908000 is a wasteful number, since it uses less digits than its factorization.

3004972908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 3004972908000 in words is "three trillion, four billion, nine hundred seventy-two million, nine hundred eight thousand".