3932205120 has 504 divisors, whose sum is σ = 14790648600. Its totient is φ = 957530112.

The previous prime is 3932205107. The next prime is 3932205139. The reversal of 3932205120 is 215022393.

3932205120 is a `hidden beast` number, since 393 + 220 + 51 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109998144 + 3822206976 = 10488^2 + 61824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44182036 + ... + 44182124.

It is an arithmetic number, because the mean of its divisors is an integer number (29346525).

Almost surely, 2^3932205120 is an apocalyptic number.

3932205120 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 3932205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395324300).

3932205120 is an abundant number, since it is smaller than the sum of its proper divisors (10858443480).

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

3932205120 is a wasteful number, since it uses less digits than its factorization.

3932205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3932205120 is about 62707.2971830233. The cubic root of 3932205120 is about 1578.3817646301.

The spelling of 3932205120 in words is "three billion, nine hundred thirty-two million, two hundred five thousand, one hundred twenty".