3119956560 has 480 divisors, whose sum is σ = 13023928320. Its totient is φ = 653184000.

The previous prime is 3119956523. The next prime is 3119956573. The reversal of 3119956560 is 656599113.

3119956560 is a `hidden beast` number, since 31 + 1 + 9 + 9 + 56 + 560 = 666.

3119956560 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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2968035 + ... + 2969085.

It is an arithmetic number, because the mean of its divisors is an integer number (27133184).

Almost surely, 2^3119956560 is an apocalyptic number.

3119956560 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 3119956560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511964160).

3119956560 is an abundant number, since it is smaller than the sum of its proper divisors (9903971760).

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

3119956560 is a wasteful number, since it uses less digits than its factorization.

3119956560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 3119956560 is about 55856.5713233457. The cubic root of 3119956560 is about 1461.2219331812.

The spelling of 3119956560 in words is "three billion, one hundred nineteen million, nine hundred fifty-six thousand, five hundred sixty".