38063840 has 72 divisors (see below), whose sum is σ = 95051880. Its totient is φ = 14402304.

The previous prime is 38063819. The next prime is 38063849. The reversal of 38063840 is 4836083.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38063797 and 38063806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38063849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57431 + ... + 58089.

It is an arithmetic number, because the mean of its divisors is an integer number (1320165).

Almost surely, 2^38063840 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 38063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47525940).

38063840 is an abundant number, since it is smaller than the sum of its proper divisors (56988040).

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

38063840 is a wasteful number, since it uses less digits than its factorization.

38063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 38063840 is about 6169.5899377511. The cubic root of 38063840 is about 336.3857059694.

The spelling of 38063840 in words is "thirty-eight million, sixty-three thousand, eight hundred forty".