3003063828480 has 1536 divisors, whose sum is σ = 11878402248000. Its totient is φ = 727720132608.

The previous prime is 3003063828469. The next prime is 3003063828481. The reversal of 3003063828480 is 848283603003.

3003063828480 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 0 + 638 + 2 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×3003063828480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003063828481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103553925106 + ... + 103553925134.

Almost surely, 2^{3003063828480} is an apocalyptic number.

3003063828480 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 3003063828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939201124000).

3003063828480 is an abundant number, since it is smaller than the sum of its proper divisors (8875338419520).

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

3003063828480 is an frugal number, since it uses more digits than its factorization.

3003063828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3003063828480 in words is "three trillion, three billion, sixty-three million, eight hundred twenty-eight thousand, four hundred eighty".