3838020 has 48 divisors (see below), whose sum is σ = 10983168. Its totient is φ = 1000960.

The previous prime is 3838013. The next prime is 3838027. The reversal of 3838020 is 208383.

It is an interprime number because it is at equal distance from previous prime (3838013) and next prime (3838027).

It is a super-4 number, since 4×3838020⁴ (a number of 27 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (3838027) 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, 2140 + ... + 3500.

It is an arithmetic number, because the mean of its divisors is an integer number (228816).

Almost surely, 2^3838020 is an apocalyptic number.

3838020 is a gapful number since it is divisible by the number (30) 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 3838020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491584).

3838020 is an abundant number, since it is smaller than the sum of its proper divisors (7145148).

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

3838020 is a wasteful number, since it uses less digits than its factorization.

3838020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3838020 is about 1959.0865218259. The cubic root of 3838020 is about 156.5677863044.

The spelling of 3838020 in words is "three million, eight hundred thirty-eight thousand, twenty".