3115648 has 32 divisors (see below), whose sum is σ = 6294420. Its totient is φ = 1536000.

The previous prime is 3115643. The next prime is 3115657. The reversal of 3115648 is 8465113.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 529984 = 1608^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×3115648³ = 90733238606024933376, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3115643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12808 + ... + 13048.

Almost surely, 2^3115648 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 3115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147210).

3115648 is an abundant number, since it is smaller than the sum of its proper divisors (3178772).

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

3115648 is a wasteful number, since it uses less digits than its factorization.

3115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 3115648 is about 1765.1198259608. The cubic root of 3115648 is about 146.0548989765.

The spelling of 3115648 in words is "three million, one hundred fifteen thousand, six hundred forty-eight".