38663760 has 80 divisors (see below), whose sum is σ = 121599360. Its totient is φ = 10160640.

The previous prime is 38663719. The next prime is 38663761. The reversal of 38663760 is 6736683.

It is a happy number.

38663760 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38663761) 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 15 ways as a sum of consecutive naturals, for example, 15906 + ... + 18174.

It is an arithmetic number, because the mean of its divisors is an integer number (1519992).

Almost surely, 2^38663760 is an apocalyptic number.

38663760 is a gapful number since it is divisible by the number (30) 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 38663760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60799680).

38663760 is an abundant number, since it is smaller than the sum of its proper divisors (82935600).

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

38663760 is a wasteful number, since it uses less digits than its factorization.

38663760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 38663760 is about 6218.0189771341. The cubic root of 38663760 is about 338.1437480138.

It can be divided in two parts, 3866 and 3760, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 38663760 in words is "thirty-eight million, six hundred sixty-three thousand, seven hundred sixty".