3003480480 has 1152 divisors, whose sum is σ = 13899755520. Its totient is φ = 534159360.

The previous prime is 3003480443. The next prime is 3003480481. The reversal of 3003480480 is 840843003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3003480481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63903817 + ... + 63903863.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2^3003480480 is an apocalyptic number.

3003480480 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 3003480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949877760).

3003480480 is an abundant number, since it is smaller than the sum of its proper divisors (10896275040).

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

3003480480 is a wasteful number, since it uses less digits than its factorization.

3003480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3003480480 is about 54804.0188307390. The cubic root of 3003480480 is about 1442.8071015083.

The spelling of 3003480480 in words is "three billion, three million, four hundred eighty thousand, four hundred eighty".