4009809384 has 96 divisors (see below), whose sum is σ = 12467320320. Its totient is φ = 1140490368.

The previous prime is 4009809361. The next prime is 4009809409. The reversal of 4009809384 is 4839089004.

It is a happy number.

4009809384 is a `hidden beast` number, since 400 + 9 + 80 + 93 + 84 = 666.

4009809384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94554 + ... + 130230.

It is an arithmetic number, because the mean of its divisors is an integer number (129867920).

Almost surely, 2^4009809384 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 4009809384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233660160).

4009809384 is an abundant number, since it is smaller than the sum of its proper divisors (8457510936).

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

4009809384 is a wasteful number, since it uses less digits than its factorization.

4009809384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35919 (or 35912 counting only the distinct ones).

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

The square root of 4009809384 is about 63323.0557064329. The cubic root of 4009809384 is about 1588.6976115476.

The spelling of 4009809384 in words is "four billion, nine million, eight hundred nine thousand, three hundred eighty-four".