3201945120 has 384 divisors, whose sum is σ = 12517908480. Its totient is φ = 757693440.

The previous prime is 3201945101. The next prime is 3201945133. The reversal of 3201945120 is 215491023.

3201945120 is a `hidden beast` number, since 3 + 201 + 9 + 451 + 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2042577 + ... + 2044143.

It is an arithmetic number, because the mean of its divisors is an integer number (32598720).

Almost surely, 2^3201945120 is an apocalyptic number.

3201945120 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 3201945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258954240).

3201945120 is an abundant number, since it is smaller than the sum of its proper divisors (9315963360).

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

3201945120 is a wasteful number, since it uses less digits than its factorization.

3201945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3201945120 is about 56585.7324773657. The cubic root of 3201945120 is about 1473.9111174525.

The spelling of 3201945120 in words is "three billion, two hundred one million, nine hundred forty-five thousand, one hundred twenty".