3711840 has 192 divisors, whose sum is σ = 13789440. Its totient is φ = 829440.

The previous prime is 3711833. The next prime is 3711857. The reversal of 3711840 is 481173.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3711840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100302 + ... + 100338.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 2^3711840 is an apocalyptic number.

3711840 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 3711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

3711840 is an abundant number, since it is smaller than the sum of its proper divisors (10077600).

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

3711840 is a wasteful number, since it uses less digits than its factorization.

3711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 3711840 is about 1926.6136094194. The cubic root of 3711840 is about 154.8328409514.

It can be divided in two parts, 371 and 1840, that added together give a triangular number (2211 = T₆₆).

The spelling of 3711840 in words is "three million, seven hundred eleven thousand, eight hundred forty".