3909936384 has 108 divisors (see below), whose sum is σ = 11377466100. Its totient is φ = 1291272192.

The previous prime is 3909936383. The next prime is 3909936389. The reversal of 3909936384 is 4836399093.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2101305600 + 1808630784 = 45840^2 + 42528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3909936384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3909936383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243352 + ... + 258920.

Almost surely, 2^3909936384 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 3909936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688733050).

3909936384 is an abundant number, since it is smaller than the sum of its proper divisors (7467529716).

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

3909936384 is a wasteful number, since it uses less digits than its factorization.

3909936384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15700 (or 15683 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 3909936384 is about 62529.4841174945. The cubic root of 3909936384 is about 1575.3965755709.

The spelling of 3909936384 in words is "three billion, nine hundred nine million, nine hundred thirty-six thousand, three hundred eighty-four".