3909008484 has 120 divisors (see below), whose sum is σ = 10604609400. Its totient is φ = 1254113280.

The previous prime is 3909008459. The next prime is 3909008507. The reversal of 3909008484 is 4848009093.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 337750884 + 3571257600 = 18378^2 + 59760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5082852 + ... + 5083620.

It is an arithmetic number, because the mean of its divisors is an integer number (88371745).

Almost surely, 2^3909008484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3909008484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302304700).

3909008484 is an abundant number, since it is smaller than the sum of its proper divisors (6695600916).

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

3909008484 is a wasteful number, since it uses less digits than its factorization.

3909008484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3909008484 is about 62522.0639774472. The cubic root of 3909008484 is about 1575.2719421590.

The spelling of 3909008484 in words is "three billion, nine hundred nine million, eight thousand, four hundred eighty-four".