3138240 has 112 divisors (see below), whose sum is σ = 11411712. Its totient is φ = 715776.

The previous prime is 3138221. The next prime is 3138283. The reversal of 3138240 is 428313.

It is a happy number.

3138240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 6487 + ... + 6953.

Almost surely, 2^3138240 is an apocalyptic number.

3138240 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 3138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705856).

3138240 is an abundant number, since it is smaller than the sum of its proper divisors (8273472).

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

3138240 is a wasteful number, since it uses less digits than its factorization.

3138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3138240 is about 1771.5078323282. The cubic root of 3138240 is about 146.4070706370.

The spelling of 3138240 in words is "three million, one hundred thirty-eight thousand, two hundred forty".