38694816 has 144 divisors (see below), whose sum is σ = 117641160. Its totient is φ = 12042240.

The previous prime is 38694793. The next prime is 38694827. The reversal of 38694816 is 61849683.

38694816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11696400 + 26998416 = 3420^2 + 5196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 342376 + ... + 342488.

Almost surely, 2^38694816 is an apocalyptic number.

38694816 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 38694816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58820580).

38694816 is an abundant number, since it is smaller than the sum of its proper divisors (78946344).

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

38694816 is a wasteful number, since it uses less digits than its factorization.

38694816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 38694816 is about 6220.5157342458. The cubic root of 38694816 is about 338.2342598333.

The spelling of 38694816 in words is "thirty-eight million, six hundred ninety-four thousand, eight hundred sixteen".