3127968 has 36 divisors (see below), whose sum is σ = 8895978. Its totient is φ = 1042560.

The previous prime is 3127937. The next prime is 3127979. The reversal of 3127968 is 8697213.

It can be written as a sum of positive squares in only one way, i.e., 2782224 + 345744 = 1668^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 5143 + ... + 5718.

Almost surely, 2^3127968 is an apocalyptic number.

It is an amenable number.

3127968 is an abundant number, since it is smaller than the sum of its proper divisors (5768010).

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

3127968 is a wasteful number, since it uses less digits than its factorization.

3127968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10877 (or 10866 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3127968 is about 1768.6062309061. The cubic root of 3127968 is about 146.2471575165.

It can be divided in two parts, 3127 and 968, that added together give a triangular number (4095 = T₉₀).

The spelling of 3127968 in words is "three million, one hundred twenty-seven thousand, nine hundred sixty-eight".