39296016 has 80 divisors (see below), whose sum is σ = 114288320. Its totient is φ = 13087008.

The previous prime is 39296011. The next prime is 39296039. The reversal of 39296016 is 61069293.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (39296011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34431 + ... + 35553.

It is an arithmetic number, because the mean of its divisors is an integer number (1428604).

Almost surely, 2^39296016 is an apocalyptic number.

39296016 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 39296016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57144160).

39296016 is an abundant number, since it is smaller than the sum of its proper divisors (74992304).

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

39296016 is an equidigital number, since it uses as much as digits as its factorization.

39296016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 39296016 is about 6268.6534439224. The cubic root of 39296016 is about 339.9769765263.

The spelling of 39296016 in words is "thirty-nine million, two hundred ninety-six thousand, sixteen".