3253545120 has 288 divisors, whose sum is σ = 12202964928. Its totient is φ = 726147072.

The previous prime is 3253545091. The next prime is 3253545131. The reversal of 3253545120 is 215453523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009752 + ... + 1012968.

It is an arithmetic number, because the mean of its divisors is an integer number (42371406).

Almost surely, 2^3253545120 is an apocalyptic number.

3253545120 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 3253545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101482464).

3253545120 is an abundant number, since it is smaller than the sum of its proper divisors (8949419808).

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

3253545120 is a wasteful number, since it uses less digits than its factorization.

3253545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 3253545120 is about 57039.8555397890. The cubic root of 3253545120 is about 1481.7864233154.

Adding to 3253545120 its reverse (215453523), we get a palindrome (3468998643).

The spelling of 3253545120 in words is "three billion, two hundred fifty-three million, five hundred forty-five thousand, one hundred twenty".