3132768 has 24 divisors (see below), whose sum is σ = 8223768. Its totient is φ = 1044224.

The previous prime is 3132763. The next prime is 3132781. The reversal of 3132768 is 8672313.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132763) 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, 16221 + ... + 16412.

It is an arithmetic number, because the mean of its divisors is an integer number (342657).

Almost surely, 2^3132768 is an apocalyptic number.

It is an amenable number.

3132768 is an abundant number, since it is smaller than the sum of its proper divisors (5091000).

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

3132768 is a wasteful number, since it uses less digits than its factorization.

3132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32646 (or 32638 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3132768 is about 1769.9627114716. The cubic root of 3132768 is about 146.3219267795.

It can be divided in two parts, 313 and 2768, that added together give a triangular number (3081 = T₇₈).

The spelling of 3132768 in words is "three million, one hundred thirty-two thousand, seven hundred sixty-eight".