3115948320 has 288 divisors, whose sum is σ = 11382396480. Its totient is φ = 773867520.

The previous prime is 3115948267. The next prime is 3115948321. The reversal of 3115948320 is 238495113.

3115948320 is a `hidden beast` number, since 3 + 1 + 159 + 483 + 20 = 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 (36).

It is not an unprimeable number, because it can be changed into a prime (3115948321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668027 + ... + 1669893.

It is an arithmetic number, because the mean of its divisors is an integer number (39522210).

Almost surely, 2^3115948320 is an apocalyptic number.

3115948320 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 3115948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691198240).

3115948320 is an abundant number, since it is smaller than the sum of its proper divisors (8266448160).

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

3115948320 is a wasteful number, since it uses less digits than its factorization.

3115948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3115948320 is about 55820.6800388530. The cubic root of 3115948320 is about 1460.5959161163.

The spelling of 3115948320 in words is "three billion, one hundred fifteen million, nine hundred forty-eight thousand, three hundred twenty".