3116724480 has 360 divisors, whose sum is σ = 11645992512. Its totient is φ = 794382336.

The previous prime is 3116724463. The next prime is 3116724491. The reversal of 3116724480 is 844276113.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2383987 + ... + 2385293.

Almost surely, 2^3116724480 is an apocalyptic number.

3116724480 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 3116724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822996256).

3116724480 is an abundant number, since it is smaller than the sum of its proper divisors (8529268032).

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

3116724480 is a wasteful number, since it uses less digits than its factorization.

3116724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3116724480 is about 55827.6318680992. The cubic root of 3116724480 is about 1460.7171806447.

The spelling of 3116724480 in words is "three billion, one hundred sixteen million, seven hundred twenty-four thousand, four hundred eighty".