3090240 has 168 divisors, whose sum is σ = 11292840. Its totient is φ = 774144.

The previous prime is 3090233. The next prime is 3090247. The reversal of 3090240 is 420903.

It is an interprime number because it is at equal distance from previous prime (3090233) and next prime (3090247).

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 2214144 = 936^2 + 1488^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3090247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83502 + ... + 83538.

Almost surely, 2^3090240 is an apocalyptic number.

3090240 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 3090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646420).

3090240 is an abundant number, since it is smaller than the sum of its proper divisors (8202600).

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

3090240 is a wasteful number, since it uses less digits than its factorization.

3090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3090240 is about 1757.9078474141. The cubic root of 3090240 is about 145.6567906305.

The spelling of 3090240 in words is "three million, ninety thousand, two hundred forty".