3111840 has 72 divisors (see below), whose sum is σ = 10624068. Its totient is φ = 829440.

The previous prime is 3111827. The next prime is 3111847. The reversal of 3111840 is 481113.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 144 = 1764^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3111847) 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 11 ways as a sum of consecutive naturals, for example, 360 + ... + 2520.

Almost surely, 2^3111840 is an apocalyptic number.

3111840 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 3111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312034).

3111840 is an abundant number, since it is smaller than the sum of its proper divisors (7512228).

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

3111840 is a wasteful number, since it uses less digits than its factorization.

3111840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 3111840 is about 1764.0408158543. The cubic root of 3111840 is about 145.9953710924.

Adding to 3111840 its reverse (481113), we get a palindrome (3592953).

The spelling of 3111840 in words is "three million, one hundred eleven thousand, eight hundred forty".