39807306 has 108 divisors (see below), whose sum is σ = 110576466. Its totient is φ = 10311840.

The previous prime is 39807283. The next prime is 39807311. The reversal of 39807306 is 60370893.

It can be written as a sum of positive squares in only one way, i.e., 33350625 + 6456681 = 5775^2 + 2541^2 .

It is a super-2 number, since 2×39807306² = 3169243221955272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 106536 + ... + 106908.

Almost surely, 2^39807306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39807306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55288233).

39807306 is an abundant number, since it is smaller than the sum of its proper divisors (70769160).

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

39807306 is a wasteful number, since it uses less digits than its factorization.

39807306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 39807306 is about 6309.3031310914. The cubic root of 39807306 is about 341.4451349442.

The spelling of 39807306 in words is "thirty-nine million, eight hundred seven thousand, three hundred six".