3036042240 has 704 divisors, whose sum is σ = 12903763968. Its totient is φ = 589824000.

The previous prime is 3036042239. The next prime is 3036042241. The reversal of 3036042240 is 422406303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3036042239) and next prime (3036042241).

It is a tau number, because it is divible by the number of its divisors (704).

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 3036042240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3036042241) 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 63 ways as a sum of consecutive naturals, for example, 20106165 + ... + 20106315.

Almost surely, 2^3036042240 is an apocalyptic number.

3036042240 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 3036042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451881984).

3036042240 is an abundant number, since it is smaller than the sum of its proper divisors (9867721728).

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

3036042240 is a wasteful number, since it uses less digits than its factorization.

3036042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3036042240 is about 55100.2925582070. The cubic root of 3036042240 is about 1448.0023605265.

Adding to 3036042240 its reverse (422406303), we get a palindrome (3458448543).

The spelling of 3036042240 in words is "three billion, thirty-six million, forty-two thousand, two hundred forty".