38140640 has 48 divisors (see below), whose sum is σ = 90865152. Its totient is φ = 15128064.

The previous prime is 38140631. The next prime is 38140643. The reversal of 38140640 is 4604183.

38140640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38140643) 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 7 ways as a sum of consecutive naturals, for example, 19382 + ... + 21258.

It is an arithmetic number, because the mean of its divisors is an integer number (1893024).

Almost surely, 2^38140640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45432576).

38140640 is an abundant number, since it is smaller than the sum of its proper divisors (52724512).

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

38140640 is a wasteful number, since it uses less digits than its factorization.

38140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 38140640 is about 6175.8108779334. The cubic root of 38140640 is about 336.6117916421.

The spelling of 38140640 in words is "thirty-eight million, one hundred forty thousand, six hundred forty".