3133480560 has 320 divisors, whose sum is σ = 11437839360. Its totient is φ = 694886400.

The previous prime is 3133480499. The next prime is 3133480561. The reversal of 3133480560 is 650843313.

3133480560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133480561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10010964 + ... + 10011276.

It is an arithmetic number, because the mean of its divisors is an integer number (35743248).

Almost surely, 2^3133480560 is an apocalyptic number.

3133480560 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 3133480560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718919680).

3133480560 is an abundant number, since it is smaller than the sum of its proper divisors (8304358800).

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

3133480560 is a wasteful number, since it uses less digits than its factorization.

3133480560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3133480560 is about 55977.5004801036. The cubic root of 3133480560 is about 1463.3301976480.

The spelling of 3133480560 in words is "three billion, one hundred thirty-three million, four hundred eighty thousand, five hundred sixty".