3003882840 has 256 divisors, whose sum is σ = 11602252800. Its totient is φ = 677071872.

The previous prime is 3003882829. The next prime is 3003882859. The reversal of 3003882840 is 482883003.

It is a happy number.

3003882840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3003882795 and 3003882804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549159 + ... + 554601.

It is an arithmetic number, because the mean of its divisors is an integer number (45321300).

Almost surely, 2^3003882840 is an apocalyptic number.

3003882840 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 3003882840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801126400).

3003882840 is an abundant number, since it is smaller than the sum of its proper divisors (8598369960).

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

3003882840 is a wasteful number, since it uses less digits than its factorization.

3003882840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3003882840 is about 54807.6896064777. The cubic root of 3003882840 is about 1442.8715269805.

The spelling of 3003882840 in words is "three billion, three million, eight hundred eighty-two thousand, eight hundred forty".