3001949596800 has 4608 divisors, whose sum is σ = 15503007744000. Its totient is φ = 551809843200.

The previous prime is 3001949596759. The next prime is 3001949596823. The reversal of 3001949596800 is 86959491003.

3001949596800 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 9 + 49 + 596 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 23637398337 + ... + 23637398463.

It is an arithmetic number, because the mean of its divisors is an integer number (3364368000).

Almost surely, 2^{3001949596800} is an apocalyptic number.

3001949596800 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 3001949596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7751503872000).

3001949596800 is an abundant number, since it is smaller than the sum of its proper divisors (12501058147200).

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

3001949596800 is a wasteful number, since it uses less digits than its factorization.

3001949596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 3001949596800 in words is "three trillion, one billion, nine hundred forty-nine million, five hundred ninety-six thousand, eight hundred".