38368638 has 192 divisors, whose sum is σ = 115015680. Its totient is φ = 8942400.

The previous prime is 38368637. The next prime is 38368639. The reversal of 38368638 is 83686383.

It is a happy number.

38368638 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 8 + 638 = 666.

It is an interprime number because it is at equal distance from previous prime (38368637) and next prime (38368639).

It is a junction number, because it is equal to n+sod(n) for n = 38368593 and 38368602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38368637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816331 + ... + 816377.

It is an arithmetic number, because the mean of its divisors is an integer number (599040).

Almost surely, 2^38368638 is an apocalyptic number.

38368638 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38368638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57507840).

38368638 is an abundant number, since it is smaller than the sum of its proper divisors (76647042).

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

38368638 is a wasteful number, since it uses less digits than its factorization.

38368638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 38368638 is about 6194.2423265481. The cubic root of 38368638 is about 337.2811948022.

The spelling of 38368638 in words is "thirty-eight million, three hundred sixty-eight thousand, six hundred thirty-eight".