39393216 has 168 divisors, whose sum is σ = 124815600. Its totient is φ = 12275712.

The previous prime is 39393187. The next prime is 39393229. The reversal of 39393216 is 61239393.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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, 264310 + ... + 264458.

It is an arithmetic number, because the mean of its divisors is an integer number (742950).

Almost surely, 2^39393216 is an apocalyptic number.

39393216 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 39393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62407800).

39393216 is an abundant number, since it is smaller than the sum of its proper divisors (85422384).

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

39393216 is a wasteful number, since it uses less digits than its factorization.

39393216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 39393216 is about 6276.4015167929. The cubic root of 39393216 is about 340.2570604997.

The spelling of 39393216 in words is "thirty-nine million, three hundred ninety-three thousand, two hundred sixteen".