39790688 has 48 divisors (see below), whose sum is σ = 91967904. Its totient is φ = 16588800.

The previous prime is 39790679. The next prime is 39790733. The reversal of 39790688 is 88609793.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5888 + ... + 10688.

It is an arithmetic number, because the mean of its divisors is an integer number (1915998).

Almost surely, 2^39790688 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 39790688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45983952).

39790688 is an abundant number, since it is smaller than the sum of its proper divisors (52177216).

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

39790688 is a wasteful number, since it uses less digits than its factorization.

39790688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 39790688 is about 6307.9860494456. The cubic root of 39790688 is about 341.3976149821.

The spelling of 39790688 in words is "thirty-nine million, seven hundred ninety thousand, six hundred eighty-eight".