38823840 has 384 divisors, whose sum is σ = 159667200. Its totient is φ = 8709120.

The previous prime is 38823817. The next prime is 38823853. The reversal of 38823840 is 4832883.

It is a happy number.

38823840 is a `hidden beast` number, since 388 + 238 + 40 = 666.

It is a super-3 number, since 3×38823840³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38823795 and 38823804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902859 + ... + 902901.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^38823840 is an apocalyptic number.

38823840 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 38823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

38823840 is an abundant number, since it is smaller than the sum of its proper divisors (120843360).

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

38823840 is a wasteful number, since it uses less digits than its factorization.

38823840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

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

The square root of 38823840 is about 6230.8779477695. The cubic root of 38823840 is about 338.6097788866.

The spelling of 38823840 in words is "thirty-eight million, eight hundred twenty-three thousand, eight hundred forty".