3936146220 has 144 divisors (see below), whose sum is σ = 12418529760. Its totient is φ = 1007935488.

The previous prime is 3936146213. The next prime is 3936146233. The reversal of 3936146220 is 226416393.

3936146220 is a `hidden beast` number, since 39 + 3 + 614 + 6 + 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005507 + ... + 1009413.

It is an arithmetic number, because the mean of its divisors is an integer number (86239790).

Almost surely, 2^3936146220 is an apocalyptic number.

3936146220 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 3936146220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209264880).

3936146220 is an abundant number, since it is smaller than the sum of its proper divisors (8482383540).

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

3936146220 is a wasteful number, since it uses less digits than its factorization.

3936146220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3936146220 is about 62738.7138854472. The cubic root of 3936146220 is about 1578.9089059438.

The spelling of 3936146220 in words is "three billion, nine hundred thirty-six million, one hundred forty-six thousand, two hundred twenty".