3130384320 has 560 divisors, whose sum is σ = 12958437888. Its totient is φ = 705438720.

The previous prime is 3130384319. The next prime is 3130384331. The reversal of 3130384320 is 234830313.

3130384320 is a `hidden beast` number, since 31 + 303 + 8 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44089885 + ... + 44089955.

Almost surely, 2^3130384320 is an apocalyptic number.

3130384320 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 3130384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479218944).

3130384320 is an abundant number, since it is smaller than the sum of its proper divisors (9828053568).

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

3130384320 is an frugal number, since it uses more digits than its factorization.

3130384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3130384320 is about 55949.8375332762. The cubic root of 3130384320 is about 1462.8480591709.

The spelling of 3130384320 in words is "three billion, one hundred thirty million, three hundred eighty-four thousand, three hundred twenty".