3201768 has 72 divisors (see below), whose sum is σ = 9152130. Its totient is φ = 1049760.

The previous prime is 3201767. The next prime is 3201787. The reversal of 3201768 is 8671023.

3201768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3175524 + 26244 = 1782^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3201767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52458 + ... + 52518.

Almost surely, 2^3201768 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 3201768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576065).

3201768 is an abundant number, since it is smaller than the sum of its proper divisors (5950362).

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

3201768 is an frugal number, since it uses more digits than its factorization.

3201768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3201768 is about 1789.3484847843. The cubic root of 3201768 is about 147.3883939811.

It can be divided in two parts, 3201 and 768, that added together give a square (3969 = 63²).

The spelling of 3201768 in words is "three million, two hundred one thousand, seven hundred sixty-eight".