3003287040 has 480 divisors, whose sum is σ = 11546510976. Its totient is φ = 716636160.

The previous prime is 3003287033. The next prime is 3003287051. The reversal of 3003287040 is 407823003.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 3003286995 and 3003287013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11082105 + ... + 11082375.

Almost surely, 2^3003287040 is an apocalyptic number.

3003287040 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 3003287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773255488).

3003287040 is an abundant number, since it is smaller than the sum of its proper divisors (8543223936).

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

3003287040 is a wasteful number, since it uses less digits than its factorization.

3003287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3003287040 is about 54802.2539682448. The cubic root of 3003287040 is about 1442.7761260451.

The spelling of 3003287040 in words is "three billion, three million, two hundred eighty-seven thousand, forty".