39806672 has 40 divisors (see below), whose sum is σ = 83402400. Its totient is φ = 18340992.

The previous prime is 39806633. The next prime is 39806677. The reversal of 39806672 is 27660893.

It is a super-2 number, since 2×39806672² = 3169142271431168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39806677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9479 + ... + 13017.

It is an arithmetic number, because the mean of its divisors is an integer number (2085060).

Almost surely, 2^39806672 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 39806672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41701200).

39806672 is an abundant number, since it is smaller than the sum of its proper divisors (43595728).

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

39806672 is a wasteful number, since it uses less digits than its factorization.

39806672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 39806672 is about 6309.2528876247. The cubic root of 39806672 is about 341.4433222337.

The spelling of 39806672 in words is "thirty-nine million, eight hundred six thousand, six hundred seventy-two".