38388240 has 240 divisors, whose sum is σ = 145544256. Its totient is φ = 8985600.

The previous prime is 38388239. The next prime is 38388289. The reversal of 38388240 is 4288383.

It is a happy number.

38388240 is a `hidden beast` number, since 38 + 388 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 38388195 and 38388204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292975 + ... + 293105.

It is a vampire number, since it can be written as 4323 ⋅ 8880 (with its own digits).

Almost surely, 2^38388240 is an apocalyptic number.

38388240 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 38388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772128).

38388240 is an abundant number, since it is smaller than the sum of its proper divisors (107156016).

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

38388240 is a wasteful number, since it uses less digits than its factorization.

38388240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

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

The square root of 38388240 is about 6195.8244003522. The cubic root of 38388240 is about 337.3386224372.

The spelling of 38388240 in words is "thirty-eight million, three hundred eighty-eight thousand, two hundred forty".