38505768 has 96 divisors (see below), whose sum is σ = 113270400. Its totient is φ = 10875648.

The previous prime is 38505757. The next prime is 38505773. The reversal of 38505768 is 86750583.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160993 + ... + 161231.

It is an arithmetic number, because the mean of its divisors is an integer number (1179900).

Almost surely, 2^38505768 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 38505768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56635200).

38505768 is an abundant number, since it is smaller than the sum of its proper divisors (74764632).

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

38505768 is a wasteful number, since it uses less digits than its factorization.

38505768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 38505768 is about 6205.3016042736. The cubic root of 38505768 is about 337.6825328116.

The spelling of 38505768 in words is "thirty-eight million, five hundred five thousand, seven hundred sixty-eight".