38816960 has 224 divisors, whose sum is σ = 120164352. Its totient is φ = 11612160.

The previous prime is 38816951. The next prime is 38816977. The reversal of 38816960 is 6961883.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902699 + ... + 902741.

It is an arithmetic number, because the mean of its divisors is an integer number (536448).

Almost surely, 2^38816960 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 38816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082176).

38816960 is an abundant number, since it is smaller than the sum of its proper divisors (81347392).

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

38816960 is a wasteful number, since it uses less digits than its factorization.

38816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 38816960 is about 6230.3258341759. The cubic root of 38816960 is about 338.5897759459.

The spelling of 38816960 in words is "thirty-eight million, eight hundred sixteen thousand, nine hundred sixty".