38540436 has 96 divisors (see below), whose sum is σ = 104939520. Its totient is φ = 10977120.

The previous prime is 38540431. The next prime is 38540443. The reversal of 38540436 is 63404583.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 38540397 and 38540406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38540431) 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, 303405 + ... + 303531.

It is an arithmetic number, because the mean of its divisors is an integer number (1093120).

Almost surely, 2^38540436 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 38540436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52469760).

38540436 is an abundant number, since it is smaller than the sum of its proper divisors (66399084).

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

38540436 is a wasteful number, since it uses less digits than its factorization.

38540436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 38540436 is about 6208.0943936123. The cubic root of 38540436 is about 337.7838446157.

The spelling of 38540436 in words is "thirty-eight million, five hundred forty thousand, four hundred thirty-six".