38916768 has 96 divisors (see below), whose sum is σ = 112674240. Its totient is φ = 11663360.

The previous prime is 38916767. The next prime is 38916793. The reversal of 38916768 is 86761983.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (38916767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144538 + ... + 144806.

It is an arithmetic number, because the mean of its divisors is an integer number (1173690).

Almost surely, 2^38916768 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 38916768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56337120).

38916768 is an abundant number, since it is smaller than the sum of its proper divisors (73757472).

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

38916768 is a wasteful number, since it uses less digits than its factorization.

38916768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 38916768 is about 6238.3305459073. The cubic root of 38916768 is about 338.8797269145.

The spelling of 38916768 in words is "thirty-eight million, nine hundred sixteen thousand, seven hundred sixty-eight".