39846016 has 48 divisors (see below), whose sum is σ = 92355390. Its totient is φ = 17074176.

The previous prime is 39845987. The next prime is 39846019. The reversal of 39846016 is 61064893.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 5271616 = 5880^2 + 2296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39846019) 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, 3096 + ... + 9448.

Almost surely, 2^39846016 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 39846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46177695).

39846016 is an abundant number, since it is smaller than the sum of its proper divisors (52509374).

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

39846016 is an equidigital number, since it uses as much as digits as its factorization.

39846016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 39846016 is about 6312.3700778709. The cubic root of 39846016 is about 341.5557767709. Note that the first 3 decimals are identical.

It can be divided in two parts, 3984 and 6016, that added together give a 4-th power (10000 = 10⁴).

The spelling of 39846016 in words is "thirty-nine million, eight hundred forty-six thousand, sixteen".