3811760 has 80 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 1397760.

The previous prime is 3811741. The next prime is 3811763. The reversal of 3811760 is 671183.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3811763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71894 + ... + 71946.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

Almost surely, 2^3811760 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 3811760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

3811760 is an abundant number, since it is smaller than the sum of its proper divisors (5830480).

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

3811760 is a wasteful number, since it uses less digits than its factorization.

3811760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 3811760 is about 1952.3729151983. The cubic root of 3811760 is about 156.2098862359.

The spelling of 3811760 in words is "three million, eight hundred eleven thousand, seven hundred sixty".