3840760 has 128 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 1128960.

The previous prime is 3840737. The next prime is 3840761. The reversal of 3840760 is 670483.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89299 + ... + 89341.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

Almost surely, 2^3840760 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 3840760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400).

3840760 is an abundant number, since it is smaller than the sum of its proper divisors (7564040).

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

3840760 is a wasteful number, since it uses less digits than its factorization.

3840760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3840760 is about 1959.7857025706. The cubic root of 3840760 is about 156.6050358660.

The spelling of 3840760 in words is "three million, eight hundred forty thousand, seven hundred sixty".