3003415040 has 80 divisors (see below), whose sum is σ = 7214973480. Its totient is φ = 1199063040.

The previous prime is 3003414961. The next prime is 3003415057. The reversal of 3003415040 is 405143003.

It can be written as a sum of positive squares in 4 ways, for example, as 1329623296 + 1673791744 = 36464^2 + 40912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 2101046 + ... + 2102474.

Almost surely, 2^3003415040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607486740).

3003415040 is an abundant number, since it is smaller than the sum of its proper divisors (4211558440).

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

3003415040 is an equidigital number, since it uses as much as digits as its factorization.

3003415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3003415040 is about 54803.4217909794. The cubic root of 3003415040 is about 1442.7966227784.

Adding to 3003415040 its reverse (405143003), we get a palindrome (3408558043).

The spelling of 3003415040 in words is "three billion, three million, four hundred fifteen thousand, forty".