38163840 has 256 divisors, whose sum is σ = 143942400. Its totient is φ = 8478720.

The previous prime is 38163791. The next prime is 38163841. The reversal of 38163840 is 4836183.

It is a super-3 number, since 3×38163840³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38163841) 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, 274491 + ... + 274629.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 2^38163840 is an apocalyptic number.

38163840 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 38163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

38163840 is an abundant number, since it is smaller than the sum of its proper divisors (105778560).

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

38163840 is a wasteful number, since it uses less digits than its factorization.

38163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38163840 is about 6177.6888882494. The cubic root of 38163840 is about 336.6800286607.

It can be divided in two parts, 38 and 163840, that added together give a triangular number (163878 = T₅₇₂).

The spelling of 38163840 in words is "thirty-eight million, one hundred sixty-three thousand, eight hundred forty".