38434816 has 72 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 16429056.

The previous prime is 38434813. The next prime is 38434829. The reversal of 38434816 is 61843483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38434811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100161 + ... + 100543.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^38434816 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 38434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

38434816 is an abundant number, since it is smaller than the sum of its proper divisors (51196544).

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

38434816 is an equidigital number, since it uses as much as digits as its factorization.

38434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 392 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 38434816 is about 6199.5819213879. The cubic root of 38434816 is about 337.4749969589.

The spelling of 38434816 in words is "thirty-eight million, four hundred thirty-four thousand, eight hundred sixteen".