38724840 has 288 divisors, whose sum is σ = 159344640. Its totient is φ = 7983360.

The previous prime is 38724781. The next prime is 38724841. The reversal of 38724840 is 4842783.

38724840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38724840² = 2999226466051200, which contains 22 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 = 38724795 and 38724804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38724841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304857 + ... + 304983.

It is an arithmetic number, because the mean of its divisors is an integer number (553280).

Almost surely, 2^38724840 is an apocalyptic number.

38724840 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 38724840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

38724840 is an abundant number, since it is smaller than the sum of its proper divisors (120619800).

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

38724840 is a wasteful number, since it uses less digits than its factorization.

38724840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38724840 is about 6222.9285710186. The cubic root of 38724840 is about 338.3217178882.

The spelling of 38724840 in words is "thirty-eight million, seven hundred twenty-four thousand, eight hundred forty".