39218816 has 144 divisors (see below), whose sum is σ = 101076390. Its totient is φ = 15095808.

The previous prime is 39218807. The next prime is 39218827. The reversal of 39218816 is 61881293.

It can be written as a sum of positive squares in 3 ways, for example, as 28302400 + 10916416 = 5320^2 + 3304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39218816.

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 17 ways as a sum of consecutive naturals, for example, 1059950 + ... + 1059986.

Almost surely, 2^39218816 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 39218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50538195).

39218816 is an abundant number, since it is smaller than the sum of its proper divisors (61857574).

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

39218816 is a wasteful number, since it uses less digits than its factorization.

39218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 39218816 is about 6262.4927944070. The cubic root of 39218816 is about 339.7541937304.

The spelling of 39218816 in words is "thirty-nine million, two hundred eighteen thousand, eight hundred sixteen".