38316096 has 336 divisors, whose sum is σ = 146450304. Its totient is φ = 9289728.

The previous prime is 38316077. The next prime is 38316101. The reversal of 38316096 is 69061383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38316096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891051 + ... + 891093.

It is an arithmetic number, because the mean of its divisors is an integer number (435864).

Almost surely, 2^38316096 is an apocalyptic number.

38316096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38316096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73225152).

38316096 is an abundant number, since it is smaller than the sum of its proper divisors (108134208).

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

38316096 is a wasteful number, since it uses less digits than its factorization.

38316096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38316096 is about 6189.9996768982. Note that the first 3 decimals coincide. The cubic root of 38316096 is about 337.1271668872.

The spelling of 38316096 in words is "thirty-eight million, three hundred sixteen thousand, ninety-six".