3829288338 has 32 divisors (see below), whose sum is σ = 8517446400. Its totient is φ = 1275241968.

The previous prime is 3829288327. The next prime is 3829288339. The reversal of 3829288338 is 8338829283.

3829288338 is a `hidden beast` number, since 3 + 8 + 29 + 288 + 338 = 666.

3829288338 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3829288339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26583 + ... + 91461.

It is an arithmetic number, because the mean of its divisors is an integer number (266170200).

Almost surely, 2^3829288338 is an apocalyptic number.

3829288338 is an abundant number, since it is smaller than the sum of its proper divisors (4688158062).

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

3829288338 is a wasteful number, since it uses less digits than its factorization.

3829288338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65983 (or 65977 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 3829288338 is about 61881.2438304209. The cubic root of 3829288338 is about 1564.4896331433.

The spelling of 3829288338 in words is "three billion, eight hundred twenty-nine million, two hundred eighty-eight thousand, three hundred thirty-eight".