3838659072 has 160 divisors (see below), whose sum is σ = 11114526720. Its totient is φ = 1172828160.

The previous prime is 3838659061. The next prime is 3838659079. The reversal of 3838659072 is 2709568383.

It is a super-3 number, since 3×3838659072³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3838659079) 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, 902583 + ... + 906825.

It is an arithmetic number, because the mean of its divisors is an integer number (69465792).

Almost surely, 2^3838659072 is an apocalyptic number.

3838659072 is a gapful number since it is divisible by the number (32) 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 3838659072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557263360).

3838659072 is an abundant number, since it is smaller than the sum of its proper divisors (7275867648).

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

3838659072 is a wasteful number, since it uses less digits than its factorization.

3838659072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 3838659072 is about 61956.9130283296. The cubic root of 3838659072 is about 1565.7647590091.

The spelling of 3838659072 in words is "three billion, eight hundred thirty-eight million, six hundred fifty-nine thousand, seventy-two".