3053625120 has 432 divisors, whose sum is σ = 13058168760. Its totient is φ = 644087808.

The previous prime is 3053625097. The next prime is 3053625121. The reversal of 3053625120 is 215263503.

3053625120 is a `hidden beast` number, since 3 + 0 + 536 + 2 + 5 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1742895504 + 1310729616 = 41748^2 + 36204^2 .

It is not an unprimeable number, because it can be changed into a prime (3053625121) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 915616 + ... + 918944.

Almost surely, 2^3053625120 is an apocalyptic number.

3053625120 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 3053625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529084380).

3053625120 is an abundant number, since it is smaller than the sum of its proper divisors (10004543640).

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

3053625120 is a wasteful number, since it uses less digits than its factorization.

3053625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3053625120 is about 55259.6156338424. The cubic root of 3053625120 is about 1450.7922931247.

Adding to 3053625120 its reverse (215263503), we get a palindrome (3268888623).

The spelling of 3053625120 in words is "three billion, fifty-three million, six hundred twenty-five thousand, one hundred twenty".