3115284480 has 576 divisors, whose sum is σ = 13491878400. Its totient is φ = 645857280.

The previous prime is 3115284439. The next prime is 3115284539. The reversal of 3115284480 is 844825113.

3115284480 is a `hidden beast` number, since 3 + 11 + 528 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7096101 + ... + 7096539.

It is an arithmetic number, because the mean of its divisors is an integer number (23423400).

Almost surely, 2^3115284480 is an apocalyptic number.

3115284480 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 3115284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745939200).

3115284480 is an abundant number, since it is smaller than the sum of its proper divisors (10376593920).

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

3115284480 is a wasteful number, since it uses less digits than its factorization.

3115284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3115284480 is about 55814.7335387351. The cubic root of 3115284480 is about 1460.4921840944.

The spelling of 3115284480 in words is "three billion, one hundred fifteen million, two hundred eighty-four thousand, four hundred eighty".