3116632320 has 432 divisors, whose sum is σ = 11766081600. Its totient is φ = 758661120.

The previous prime is 3116632283. The next prime is 3116632327. The reversal of 3116632320 is 232366113.

It is a happy number.

3116632320 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 632 + 3 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (3116632327) 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, 6347275 + ... + 6347765.

It is an arithmetic number, because the mean of its divisors is an integer number (27236300).

Almost surely, 2^3116632320 is an apocalyptic number.

3116632320 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 3116632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883040800).

3116632320 is an abundant number, since it is smaller than the sum of its proper divisors (8649449280).

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

3116632320 is a wasteful number, since it uses less digits than its factorization.

3116632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3116632320 is about 55826.8064642784. The cubic root of 3116632320 is about 1460.7027829414.

Adding to 3116632320 its reverse (232366113), we get a palindrome (3348998433).

The spelling of 3116632320 in words is "three billion, one hundred sixteen million, six hundred thirty-two thousand, three hundred twenty".