38838420 has 96 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 10200960.

The previous prime is 38838391. The next prime is 38838427. The reversal of 38838420 is 2483883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38838427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37834 + ... + 38846.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^38838420 is an apocalyptic number.

38838420 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 38838420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

38838420 is an abundant number, since it is smaller than the sum of its proper divisors (83815020).

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

38838420 is a wasteful number, since it uses less digits than its factorization.

38838420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38838420 is about 6232.0478175316. The cubic root of 38838420 is about 338.6521610303.

The spelling of 38838420 in words is "thirty-eight million, eight hundred thirty-eight thousand, four hundred twenty".