38536736 has 48 divisors (see below), whose sum is σ = 88502400. Its totient is φ = 16511040.

The previous prime is 38536727. The next prime is 38536763. The reversal of 38536736 is 63763583.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38536693 and 38536702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9221 + ... + 12731.

It is an arithmetic number, because the mean of its divisors is an integer number (1843800).

Almost surely, 2^38536736 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 38536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44251200).

38536736 is an abundant number, since it is smaller than the sum of its proper divisors (49965664).

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

38536736 is an equidigital number, since it uses as much as digits as its factorization.

38536736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3520 counting only the distinct ones).

The product of its digits is 272160, while the sum is 41.

The square root of 38536736 is about 6207.7963884135. The cubic root of 38536736 is about 337.7730348416.

The spelling of 38536736 in words is "thirty-eight million, five hundred thirty-six thousand, seven hundred thirty-six".