38024640 has 196 divisors, whose sum is σ = 136590024. Its totient is φ = 10077696.

The previous prime is 38024611. The next prime is 38024647. The reversal of 38024640 is 4642083.

38024640 is a `hidden beast` number, since 380 + 246 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38024647) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233199 + ... + 233361.

Almost surely, 2^38024640 is an apocalyptic number.

38024640 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 38024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68295012).

38024640 is an abundant number, since it is smaller than the sum of its proper divisors (98565384).

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

38024640 is an equidigital number, since it uses as much as digits as its factorization.

38024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38024640 is about 6166.4122470039. The cubic root of 38024640 is about 336.2701908339.

The spelling of 38024640 in words is "thirty-eight million, twenty-four thousand, six hundred forty".