3834138288 has 80 divisors (see below), whose sum is σ = 10680566400. Its totient is φ = 1181237760.

The previous prime is 3834138221. The next prime is 3834138377. The reversal of 3834138288 is 8828314383.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13878 + ... + 88661.

It is an arithmetic number, because the mean of its divisors is an integer number (133507080).

Almost surely, 2^3834138288 is an apocalyptic number.

3834138288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3834138288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340283200).

3834138288 is an abundant number, since it is smaller than the sum of its proper divisors (6846428112).

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

3834138288 is a wasteful number, since it uses less digits than its factorization.

3834138288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102610 (or 102604 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 3834138288 is about 61920.4189908305. The cubic root of 3834138288 is about 1565.1498511527.

The spelling of 3834138288 in words is "three billion, eight hundred thirty-four million, one hundred thirty-eight thousand, two hundred eighty-eight".