3002835120 has 160 divisors (see below), whose sum is σ = 9895670208. Its totient is φ = 750649344.

The previous prime is 3002835097. The next prime is 3002835133. The reversal of 3002835120 is 215382003.

3002835120 is digitally balanced in base 2, because in such base 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 (24).

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, 1128832 + ... + 1131488.

Almost surely, 2^3002835120 is an apocalyptic number.

3002835120 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 3002835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947835104).

3002835120 is an abundant number, since it is smaller than the sum of its proper divisors (6892835088).

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

3002835120 is a wasteful number, since it uses less digits than its factorization.

3002835120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3002835120 is about 54798.1306250496. The cubic root of 3002835120 is about 1442.7037551078.

The spelling of 3002835120 in words is "three billion, two million, eight hundred thirty-five thousand, one hundred twenty".