3840768 has 54 divisors (see below), whose sum is σ = 11080524. Its totient is φ = 1279488.

The previous prime is 3840761. The next prime is 3840787. The reversal of 3840768 is 8670483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹⁰ + 8³ + 4⁶ + 0 + 7³ + 6⁸ + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (3840761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1471 + ... + 3137.

Almost surely, 2^3840768 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 3840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540262).

3840768 is an abundant number, since it is smaller than the sum of its proper divisors (7239756).

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

3840768 is a wasteful number, since it uses less digits than its factorization.

3840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1672 counting only the distinct ones).

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

The square root of 3840768 is about 1959.7877436090. The cubic root of 3840768 is about 156.6051445979.

Adding to 3840768 its product of nonzero digits (32256), we get a square (3873024 = 1968²).

The spelling of 3840768 in words is "three million, eight hundred forty thousand, seven hundred sixty-eight".