3936137220 has 192 divisors, whose sum is σ = 12634755840. Its totient is φ = 1016810496.

The previous prime is 3936137209. The next prime is 3936137251. The reversal of 3936137220 is 227316393.

3936137220 is a `hidden beast` number, since 39 + 3 + 613 + 7 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 2374632 + ... + 2376288.

It is an arithmetic number, because the mean of its divisors is an integer number (65806020).

Almost surely, 2^3936137220 is an apocalyptic number.

3936137220 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 3936137220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317377920).

3936137220 is an abundant number, since it is smaller than the sum of its proper divisors (8698618620).

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

3936137220 is a wasteful number, since it uses less digits than its factorization.

3936137220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3936137220 is about 62738.6421593582. The cubic root of 3936137220 is about 1578.9077025509.

The spelling of 3936137220 in words is "three billion, nine hundred thirty-six million, one hundred thirty-seven thousand, two hundred twenty".