3838960 has 40 divisors (see below), whose sum is σ = 9124416. Its totient is φ = 1501440.

The previous prime is 3838951. The next prime is 3838973. The reversal of 3838960 is 698383.

It is a happy number.

3838960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3838960² = 29475227763200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3250 + ... + 4270.

Almost surely, 2^3838960 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 3838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562208).

3838960 is an abundant number, since it is smaller than the sum of its proper divisors (5285456).

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

3838960 is a wasteful number, since it uses less digits than its factorization.

3838960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3838960 is about 1959.3264148681. The cubic root of 3838960 is about 156.5805673483.

The spelling of 3838960 in words is "three million, eight hundred thirty-eight thousand, nine hundred sixty".