39805038 has 96 divisors (see below), whose sum is σ = 111820800. Its totient is φ = 9937728.

The previous prime is 39805027. The next prime is 39805043. The reversal of 39805038 is 83050893.

It is a junction number, because it is equal to n+sod(n) for n = 39804993 and 39805011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30483 + ... + 31761.

It is an arithmetic number, because the mean of its divisors is an integer number (1164800).

Almost surely, 2^39805038 is an apocalyptic number.

39805038 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39805038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55910400).

39805038 is an abundant number, since it is smaller than the sum of its proper divisors (72015762).

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

39805038 is a wasteful number, since it uses less digits than its factorization.

39805038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 39805038 is about 6309.1233939431. The cubic root of 39805038 is about 341.4386502696.

The spelling of 39805038 in words is "thirty-nine million, eight hundred five thousand, thirty-eight".