3116380624 has 80 divisors (see below), whose sum is σ = 7151288320. Its totient is φ = 1287861120.

The previous prime is 3116380591. The next prime is 3116380651. The reversal of 3116380624 is 4260836113.

It is a happy number.

It is a super-3 number, since 3×3116380624³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3116380624.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 376369 + ... + 384559.

It is an arithmetic number, because the mean of its divisors is an integer number (89391104).

Almost surely, 2^3116380624 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 3116380624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575644160).

3116380624 is an abundant number, since it is smaller than the sum of its proper divisors (4034907696).

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

3116380624 is a wasteful number, since it uses less digits than its factorization.

3116380624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3116380624 is about 55824.5521612131. The cubic root of 3116380624 is about 1460.6634602680.

The spelling of 3116380624 in words is "three billion, one hundred sixteen million, three hundred eighty thousand, six hundred twenty-four".