38648736 has 144 divisors (see below), whose sum is σ = 132350400. Its totient is φ = 10450944.

The previous prime is 38648707. The next prime is 38648737. The reversal of 38648736 is 63784683.

38648736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38648691 and 38648700.

It is not an unprimeable number, because it can be changed into a prime (38648737) 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 23 ways as a sum of consecutive naturals, for example, 37800 + ... + 38808.

It is an arithmetic number, because the mean of its divisors is an integer number (919100).

Almost surely, 2^38648736 is an apocalyptic number.

38648736 is a gapful number since it is divisible by the number (36) 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 38648736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66175200).

38648736 is an abundant number, since it is smaller than the sum of its proper divisors (93701664).

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

38648736 is a wasteful number, since it uses less digits than its factorization.

38648736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1040 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 38648736 is about 6216.8107579369. The cubic root of 38648736 is about 338.0999436015.

The spelling of 38648736 in words is "thirty-eight million, six hundred forty-eight thousand, seven hundred thirty-six".