39882816 has 84 divisors (see below), whose sum is σ = 121071132. Its totient is φ = 12509184.

The previous prime is 39882809. The next prime is 39882839. The reversal of 39882816 is 61828893.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 23040000 = 4104^2 + 4800^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7756 + ... + 11828.

It is an arithmetic number, because the mean of its divisors is an integer number (1441323).

Almost surely, 2^39882816 is an apocalyptic number.

39882816 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 39882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60535566).

39882816 is an abundant number, since it is smaller than the sum of its proper divisors (81188316).

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

39882816 is a wasteful number, since it uses less digits than its factorization.

39882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4095 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 39882816 is about 6315.2843166401. The cubic root of 39882816 is about 341.6608929687.

The spelling of 39882816 in words is "thirty-nine million, eight hundred eighty-two thousand, eight hundred sixteen".