3078240 has 144 divisors (see below), whose sum is σ = 10859184. Its totient is φ = 732160.

The previous prime is 3078227. The next prime is 3078259. The reversal of 3078240 is 428703.

3078240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3078240² = 18951122995200, which contains 22 as substring.

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 3078240.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 58054 + ... + 58106.

It is an arithmetic number, because the mean of its divisors is an integer number (75411).

Almost surely, 2^3078240 is an apocalyptic number.

3078240 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 3078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429592).

3078240 is an abundant number, since it is smaller than the sum of its proper divisors (7780944).

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

3078240 is a wasteful number, since it uses less digits than its factorization.

3078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3078240 is about 1754.4913792892. The cubic root of 3078240 is about 145.4680082236.

It can be divided in two parts, 3078 and 240, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 3078240 in words is "three million, seventy-eight thousand, two hundred forty".