3115276416 has 256 divisors, whose sum is σ = 10598860800. Its totient is φ = 882385920.

The previous prime is 3115276393. The next prime is 3115276447. The reversal of 3115276416 is 6146725113.

3115276416 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 2 + 7 + 641 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3168661 + ... + 3169643.

It is an arithmetic number, because the mean of its divisors is an integer number (41401800).

Almost surely, 2^3115276416 is an apocalyptic number.

3115276416 is a gapful number since it is divisible by the number (36) 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 3115276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299430400).

3115276416 is an abundant number, since it is smaller than the sum of its proper divisors (7483584384).

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

3115276416 is a wasteful number, since it uses less digits than its factorization.

3115276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3115276416 is about 55814.6612996979. The cubic root of 3115276416 is about 1460.4909239185.

The spelling of 3115276416 in words is "three billion, one hundred fifteen million, two hundred seventy-six thousand, four hundred sixteen".