3838976 has 44 divisors (see below), whose sum is σ = 8056992. Its totient is φ = 1824768.

The previous prime is 3838973. The next prime is 3838979. The reversal of 3838976 is 6798383.

It is an interprime number because it is at equal distance from previous prime (3838973) and next prime (3838979).

It is a d-powerful number, because it can be written as 3 + 8³ + 3⁵ + 8⁷ + 9⁵ + 7⁴ + 6⁸ .

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23471 + ... + 23633.

Almost surely, 2^3838976 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 3838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028496).

3838976 is an abundant number, since it is smaller than the sum of its proper divisors (4218016).

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

3838976 is a wasteful number, since it uses less digits than its factorization.

3838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 3838976 is about 1959.3304978997. The cubic root of 3838976 is about 156.5807848799.

The spelling of 3838976 in words is "three million, eight hundred thirty-eight thousand, nine hundred seventy-six".