3126240 has 144 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 764928.

The previous prime is 3126239. The next prime is 3126269. The reversal of 3126240 is 426213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18637 + ... + 18803.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

Almost surely, 2^3126240 is an apocalyptic number.

3126240 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 3126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

3126240 is an abundant number, since it is smaller than the sum of its proper divisors (8431488).

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

3126240 is a wasteful number, since it uses less digits than its factorization.

3126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3126240 is about 1768.1176431448. The cubic root of 3126240 is about 146.2202218575.

The spelling of 3126240 in words is "three million, one hundred twenty-six thousand, two hundred forty".