3003648480000 has 1800 divisors, whose sum is σ = 12947904069408. Its totient is φ = 678150144000.

The previous prime is 3003648479987. The next prime is 3003648480073. The reversal of 3003648480000 is 848463003.

3003648480000 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 648 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 10251359854 + ... + 10251360146.

Almost surely, 2^{3003648480000} is an apocalyptic number.

3003648480000 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 3003648480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473952034704).

3003648480000 is an abundant number, since it is smaller than the sum of its proper divisors (9944255589408).

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

3003648480000 is an equidigital number, since it uses as much as digits as its factorization.

3003648480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3003648480000 in words is "three trillion, three billion, six hundred forty-eight million, four hundred eighty thousand".