3002835840 has 256 divisors, whose sum is σ = 10184071680. Its totient is φ = 750903296.

The previous prime is 3002835833. The next prime is 3002835853. The reversal of 3002835840 is 485382003.

3002835840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2339839 + ... + 2341121.

It is an arithmetic number, because the mean of its divisors is an integer number (39781530).

Almost surely, 2^3002835840 is an apocalyptic number.

3002835840 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 3002835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092035840).

3002835840 is an abundant number, since it is smaller than the sum of its proper divisors (7181235840).

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

3002835840 is a wasteful number, since it uses less digits than its factorization.

3002835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3002835840 is about 54798.1371946164. The cubic root of 3002835840 is about 1442.7038704151.

The spelling of 3002835840 in words is "three billion, two million, eight hundred thirty-five thousand, eight hundred forty".