3035152120 has 480 divisors, whose sum is σ = 9964613520. Its totient is φ = 821882880.

The previous prime is 3035152117. The next prime is 3035152147. The reversal of 3035152120 is 212515303.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3035152091 and 3035152100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 178538352 + ... + 178538368.

Almost surely, 2^3035152120 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 3035152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982306760).

3035152120 is an abundant number, since it is smaller than the sum of its proper divisors (6929461400).

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

3035152120 is a wasteful number, since it uses less digits than its factorization.

3035152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 3035152120 is about 55092.2146950002. The cubic root of 3035152120 is about 1447.8608361623.

Adding to 3035152120 its reverse (212515303), we get a palindrome (3247667423).

The spelling of 3035152120 in words is "three billion, thirty-five million, one hundred fifty-two thousand, one hundred twenty".