3115760 has 80 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 1118208.

The previous prime is 3115751. The next prime is 3115769. The reversal of 3115760 is 675113.

3115760 = T₄₁₁ + T₄₁₂ + ... + T₄₄₄.

It is an interprime number because it is at equal distance from previous prime (3115751) and next prime (3115769).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39401 + ... + 39479.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

Almost surely, 2^3115760 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 3115760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

3115760 is an abundant number, since it is smaller than the sum of its proper divisors (4919440).

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

3115760 is a wasteful number, since it uses less digits than its factorization.

3115760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 3115760 is about 1765.1515515672. The cubic root of 3115760 is about 146.0566490621.

The spelling of 3115760 in words is "three million, one hundred fifteen thousand, seven hundred sixty".