38837568 has 224 divisors, whose sum is σ = 133429248. Its totient is φ = 9676800.

The previous prime is 38837563. The next prime is 38837581. The reversal of 38837568 is 86573883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×38837568³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38837563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546973 + ... + 547043.

Almost surely, 2^38837568 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 38837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66714624).

38837568 is an abundant number, since it is smaller than the sum of its proper divisors (94591680).

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

38837568 is a wasteful number, since it uses less digits than its factorization.

38837568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 38837568 is about 6231.9794608134. The cubic root of 38837568 is about 338.6496846701.

The spelling of 38837568 in words is "thirty-eight million, eight hundred thirty-seven thousand, five hundred sixty-eight".