3116824480 has 288 divisors, whose sum is σ = 9379117440. Its totient is φ = 958003200.

The previous prime is 3116824453. The next prime is 3116824481. The reversal of 3116824480 is 844286113.

It is not an unprimeable number, because it can be changed into a prime (3116824481) 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, 14771575 + ... + 14771785.

It is an arithmetic number, because the mean of its divisors is an integer number (32566380).

Almost surely, 2^3116824480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689558720).

3116824480 is an abundant number, since it is smaller than the sum of its proper divisors (6262292960).

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

3116824480 is a wasteful number, since it uses less digits than its factorization.

3116824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 3116824480 is about 55828.5274747597. The cubic root of 3116824480 is about 1460.7328028314.

The spelling of 3116824480 in words is "three billion, one hundred sixteen million, eight hundred twenty-four thousand, four hundred eighty".