38765916 has 72 divisors (see below), whose sum is σ = 118591200. Its totient is φ = 10423296.

The previous prime is 38765911. The next prime is 38765957. The reversal of 38765916 is 61956783.

It is a happy number.

38765916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38765911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241 + ... + 8808.

It is an arithmetic number, because the mean of its divisors is an integer number (1647100).

Almost surely, 2^38765916 is an apocalyptic number.

38765916 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 38765916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59295600).

38765916 is an abundant number, since it is smaller than the sum of its proper divisors (79825284).

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

38765916 is a wasteful number, since it uses less digits than its factorization.

38765916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9078 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 38765916 is about 6226.2280716337. The cubic root of 38765916 is about 338.4412965379.

The spelling of 38765916 in words is "thirty-eight million, seven hundred sixty-five thousand, nine hundred sixteen".