3875760 has 120 divisors (see below), whose sum is σ = 14894880. Its totient is φ = 884736.

The previous prime is 3875747. The next prime is 3875797. The reversal of 3875760 is 675783.

3875760 = T₄₅₃ + T₄₅₄ + ... + T₄₈₇.

3875760 is a `hidden beast` number, since 3 + 87 + 576 + 0 = 666.

3875760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4656 + ... + 5424.

It is an arithmetic number, because the mean of its divisors is an integer number (124124).

Almost surely, 2^3875760 is an apocalyptic number.

3875760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447440).

3875760 is an abundant number, since it is smaller than the sum of its proper divisors (11019120).

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

3875760 is a wasteful number, since it uses less digits than its factorization.

3875760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3875760 is about 1968.6949992317. The cubic root of 3875760 is about 157.0793005474.

The spelling of 3875760 in words is "three million, eight hundred seventy-five thousand, seven hundred sixty".