39740416 has 33 divisors (see below), whose sum is σ = 79847329. Its totient is φ = 19769344.

The previous prime is 39740413. The next prime is 39740423. The reversal of 39740416 is 61404793.

It is a happy number.

The square root of 39740416 is 6304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38937600 + 802816 = 6240^2 + 896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39740413) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 201630 + ... + 201826.

Almost surely, 2^39740416 is an apocalyptic number.

39740416 is the 6304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39740416

39740416 is an abundant number, since it is smaller than the sum of its proper divisors (40106913).

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

39740416 is an frugal number, since it uses more digits than its factorization.

39740416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The cubic root of 39740416 is about 341.2537792029.

The spelling of 39740416 in words is "thirty-nine million, seven hundred forty thousand, four hundred sixteen".