3711960 has 128 divisors (see below), whose sum is σ = 14169600. Its totient is φ = 846720.

The previous prime is 3711959. The next prime is 3711989. The reversal of 3711960 is 691173.

3711960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7315 + ... + 7805.

It is an arithmetic number, because the mean of its divisors is an integer number (110700).

Almost surely, 2^3711960 is an apocalyptic number.

3711960 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 3711960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084800).

3711960 is an abundant number, since it is smaller than the sum of its proper divisors (10457640).

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

3711960 is a wasteful number, since it uses less digits than its factorization.

3711960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 3711960 is about 1926.6447518938. The cubic root of 3711960 is about 154.8345094627.

The spelling of 3711960 in words is "three million, seven hundred eleven thousand, nine hundred sixty".