3116613360 has 160 divisors (see below), whose sum is σ = 11311276032. Its totient is φ = 694978560.

The previous prime is 3116613343. The next prime is 3116613361. The reversal of 3116613360 is 633166113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116613361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46257 + ... + 91503.

Almost surely, 2^3116613360 is an apocalyptic number.

3116613360 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 3116613360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655638016).

3116613360 is an abundant number, since it is smaller than the sum of its proper divisors (8194662672).

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

3116613360 is a wasteful number, since it uses less digits than its factorization.

3116613360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45311 (or 45305 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3116613360 is about 55826.6366531246. The cubic root of 3116613360 is about 1460.6998208788.

Adding to 3116613360 its reverse (633166113), we get a palindrome (3749779473).

The spelling of 3116613360 in words is "three billion, one hundred sixteen million, six hundred thirteen thousand, three hundred sixty".