38047968 has 168 divisors, whose sum is σ = 128904048. Its totient is φ = 10824192.

The previous prime is 38047963. The next prime is 38047969. The reversal of 38047968 is 86974083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38047963) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 163180 + ... + 163412.

It is an arithmetic number, because the mean of its divisors is an integer number (767286).

Almost surely, 2^38047968 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 38047968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64452024).

38047968 is an abundant number, since it is smaller than the sum of its proper divisors (90856080).

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

38047968 is an equidigital number, since it uses as much as digits as its factorization.

38047968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38047968 is about 6168.3034944789. The cubic root of 38047968 is about 336.3389436862.

The spelling of 38047968 in words is "thirty-eight million, forty-seven thousand, nine hundred sixty-eight".