3130341120 has 288 divisors, whose sum is σ = 11324577600. Its totient is φ = 818528256.

The previous prime is 3130341119. The next prime is 3130341127. The reversal of 3130341120 is 211430313.

3130341120 is a `hidden beast` number, since 313 + 0 + 341 + 12 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3130341093 and 3130341102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130341127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1830826 + ... + 1832534.

It is an arithmetic number, because the mean of its divisors is an integer number (39321450).

Almost surely, 2^3130341120 is an apocalyptic number.

3130341120 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 3130341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662288800).

3130341120 is an abundant number, since it is smaller than the sum of its proper divisors (8194236480).

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

3130341120 is a wasteful number, since it uses less digits than its factorization.

3130341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3130341120 is about 55949.4514718420. The cubic root of 3130341120 is about 1462.8413299304.

Adding to 3130341120 its reverse (211430313), we get a palindrome (3341771433).

The spelling of 3130341120 in words is "three billion, one hundred thirty million, three hundred forty-one thousand, one hundred twenty".