3180768 has 48 divisors (see below), whose sum is σ = 8845200. Its totient is φ = 997376.

The previous prime is 3180767. The next prime is 3180769. The reversal of 3180768 is 8670813.

It is an interprime number because it is at equal distance from previous prime (3180767) and next prime (3180769).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3180761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 2606.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 2^3180768 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 3180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600).

3180768 is an abundant number, since it is smaller than the sum of its proper divisors (5664432).

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

3180768 is a wasteful number, since it uses less digits than its factorization.

3180768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 3180768 is about 1783.4707735200. The cubic root of 3180768 is about 147.0654528274.

The spelling of 3180768 in words is "three million, one hundred eighty thousand, seven hundred sixty-eight".