3804768 has 72 divisors (see below), whose sum is σ = 11813256. Its totient is φ = 1152000.

The previous prime is 3804767. The next prime is 3804797. The reversal of 3804768 is 8674083.

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 (36).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3804763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2568 + ... + 3768.

It is an arithmetic number, because the mean of its divisors is an integer number (164073).

Almost surely, 2^3804768 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 3804768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906628).

3804768 is an abundant number, since it is smaller than the sum of its proper divisors (8008488).

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

3804768 is a wasteful number, since it uses less digits than its factorization.

3804768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3804768 is about 1950.5814517728. The cubic root of 3804768 is about 156.1143146335.

The spelling of 3804768 in words is "three million, eight hundred four thousand, seven hundred sixty-eight".