3003348741120 has 2112 divisors, whose sum is σ = 13627393468416. Its totient is φ = 617262612480.

The previous prime is 3003348741103. The next prime is 3003348741143. The reversal of 3003348741120 is 211478433003.

3003348741120 is a `hidden beast` number, since 30 + 0 + 33 + 487 + 4 + 112 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4641960637 + ... + 4641961283.

Almost surely, 2^{3003348741120} is an apocalyptic number.

3003348741120 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 3003348741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813696734208).

3003348741120 is an abundant number, since it is smaller than the sum of its proper divisors (10624044727296).

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

3003348741120 is a wasteful number, since it uses less digits than its factorization.

3003348741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3003348741120 in words is "three trillion, three billion, three hundred forty-eight million, seven hundred forty-one thousand, one hundred twenty".