3917831328 has 120 divisors (see below), whose sum is σ = 11919780180. Its totient is φ = 1260887040.

The previous prime is 3917831317. The next prime is 3917831347. The reversal of 3917831328 is 8231387193.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3847472784 + 70358544 = 62028^2 + 8388^2 .

It is a super-3 number, since 3×3917831328³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49108 + ... + 101228.

Almost surely, 2^3917831328 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 3917831328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959890090).

3917831328 is an abundant number, since it is smaller than the sum of its proper divisors (8001948852).

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

3917831328 is a wasteful number, since it uses less digits than its factorization.

3917831328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52172 (or 52155 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 3917831328 is about 62592.5820525084. The cubic root of 3917831328 is about 1576.4562096688.

The spelling of 3917831328 in words is "three billion, nine hundred seventeen million, eight hundred thirty-one thousand, three hundred twenty-eight".