3909824220 has 96 divisors (see below), whose sum is σ = 11659007808. Its totient is φ = 975572992.

The previous prime is 3909824197. The next prime is 3909824227. The reversal of 3909824220 is 224289093.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3909824227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 165382 + ... + 187538.

It is an arithmetic number, because the mean of its divisors is an integer number (121447998).

Almost surely, 2^3909824220 is an apocalyptic number.

3909824220 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 3909824220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829503904).

3909824220 is an abundant number, since it is smaller than the sum of its proper divisors (7749183588).

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

3909824220 is a wasteful number, since it uses less digits than its factorization.

3909824220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22359 (or 22357 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3909824220 is about 62528.5872221658. The cubic root of 3909824220 is about 1575.3815110060.

The spelling of 3909824220 in words is "three billion, nine hundred nine million, eight hundred twenty-four thousand, two hundred twenty".