38616096 has 48 divisors (see below), whose sum is σ = 103850208. Its totient is φ = 12556800.

The previous prime is 38616079. The next prime is 38616101. The reversal of 38616096 is 69061683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 8841.

It is an arithmetic number, because the mean of its divisors is an integer number (2163546).

Almost surely, 2^38616096 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 38616096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51925104).

38616096 is an abundant number, since it is smaller than the sum of its proper divisors (65234112).

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

38616096 is a wasteful number, since it uses less digits than its factorization.

38616096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9865 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 38616096 is about 6214.1850632243. The cubic root of 38616096 is about 338.0047383298.

The spelling of 38616096 in words is "thirty-eight million, six hundred sixteen thousand, ninety-six".