3305625120 has 192 divisors, whose sum is σ = 13222621440. Its totient is φ = 755564544.

The previous prime is 3305625119. The next prime is 3305625137. The reversal of 3305625120 is 215265033.

3305625120 is a `hidden beast` number, since 3 + 30 + 5 + 625 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 24417 + ... + 84896.

It is an arithmetic number, because the mean of its divisors is an integer number (68867820).

Almost surely, 2^3305625120 is an apocalyptic number.

3305625120 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 3305625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611310720).

3305625120 is an abundant number, since it is smaller than the sum of its proper divisors (9916996320).

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

3305625120 is a wasteful number, since it uses less digits than its factorization.

3305625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109344 (or 109330 counting only the distinct ones).

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

The square root of 3305625120 is about 57494.5660041016. The cubic root of 3305625120 is about 1489.6510030481.

The spelling of 3305625120 in words is "three billion, three hundred five million, six hundred twenty-five thousand, one hundred twenty".