3171120480 has 288 divisors, whose sum is σ = 11921914368. Its totient is φ = 761164800.

The previous prime is 3171120437. The next prime is 3171120497. The reversal of 3171120480 is 840211713.

3171120480 is a `hidden beast` number, since 3 + 171 + 12 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1693945 + ... + 1695815.

It is an arithmetic number, because the mean of its divisors is an integer number (41395536).

Almost surely, 2^3171120480 is an apocalyptic number.

3171120480 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 3171120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960957184).

3171120480 is an abundant number, since it is smaller than the sum of its proper divisors (8750793888).

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

3171120480 is a wasteful number, since it uses less digits than its factorization.

3171120480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3171120480 is about 56312.7026522436. The cubic root of 3171120480 is about 1469.1661521120.

The spelling of 3171120480 in words is "three billion, one hundred seventy-one million, one hundred twenty thousand, four hundred eighty".